ࡱ>  6;:c987FEh_9Ё*JJFIFddCreated with The GIMPC    $.' ",#(7),01444'9=82<.342C  2!!22222222222222222222222222222222222222222222222222""? !1"7ATUuQ#2$3Ra5BqCVb% ? ONjKgbz]oZޔ0fQ~8V'>yg| 3~)@0fS{WW߰V%9"]7w,nNT38/vu^]Xw}^ݠgg| 3~(0fR?a,8X?Jq~37,`fo(Yߊ<>I3U`0c,O]QQy9zV^UOwqa,E+vݯ=6yyuLyuN@ ,`foYߊP'>yg| 3~)@0fQa,N{WW߰V%9"]7w,nNT0fSC#؛=g}Yie{nuh?a,8X?Jq~37,`fo(Yߊ<>Og| 3~)njqVVA5=uG%EWDYzs1U?]a~FJݷkn͞n^]v>^]m{nӸ ,`foYߊP'>yg| 3~)@0fQa,8X?N;*k^\_~׉[HIvܱ:oR<&mmyywnb{va,8X?Jq~37,`fo(Yߊ<>Og| 3~(0fR'qVVA5=uG%EWDYzs1U?]gq~37lgdvm3׻[};'>yg| 3~)@0fQa,8X?Gq~37 ;*k^\_~׉[HIvܱ:oS8X?M 3blݟg}.]_׷iq~37,`fo(Yߊ<>Og| 3~(0fR?a,3=YZ 2)]eTmww~E+vݯ=6yyuLyuN3>yg| 3~)@0fQa,8X?Gq~37 ,`fo8縪uype} ^%nb]#)%ۿwr龪J?#؛=g}Yie{nuq~37,`fo(Yߊ<>a+Yؼ:Iׂ]Vk+n6**,+^7 ~?*mO߫%U‟WK_Ia~UC( ~?*m&CY2͏)C]bljɫU{GɭDNzTQacHB,}dd#U#QQ:j_ZN(ݳJgGRy+Ի YhH7gjXrQȩTnpM9ZQ{y*UꌙJkZyѫWD"i}%MwteUl$7gYlc-ޘ-H:'9S'f}v G:N޽yʭѹʽ7u?+I} ݖWBēױyUbFZW"'~ʻ1۞+lٷ":Idt*]"5ֵDDjt- ;yĿ*P?OgT>3V@_ZN( ;yĿ*P?OgT>3V@_ZN( ;yĿ*P?OgT>3V@?39UNyeDUjwESjg߫%U–\93V@_ZN( ;yĿ*PxjזʼncIkUU舉`znl{*NGZ%{Qn9G*"95"וQ\ιn#+_ej m8W]ܮnor*nW Oǜ_ 3\AFx̒7)-rr+\ #:v &tT"=tYzǽ94ֱ9wz*"!⩪1S/G;v"ڪG*sY[W.T @y<6bG$nG5T**tTT=&S%{٤uJ0gʈI6,ƯUޑU`ppruUDGEUM;i+ݥ˶9#r9jQS] 8f$$ڕ&:Þڏg2sr5HectW5ʨa^WX硒djG;ZrUGƫ=6<bX&+G#ZƢmUUz""u^K9 [w﹈թ9ݯW9ʌNҽr7j2\S{<.H;+&9G/4^c\UEwABp1Y$VtTDW]&U_ja2&o!%(";hb-I9yU԰:/E)FFH5^b56MF<Z fK$ݻ9shGȈFW*-n'bGVōȍzZDNBnV?K8:k^l$E*As=U'+ENEw#nҍUX"Tdw^S?ievJ6mȎY HDFF @Kg*bҕ;FrU}W+e]."j99eMePײ#^K64ErW*&zO z,e?/mkesZb"9ɦ1hy9es,H1m{جM+:WItTM**m @89W om<~_h/_DHֵFM9[ʾTs ױsA+G#Q{U4:h3Oq-z9Y*$ldHD]XSo4TnjV+J|rFs^MEEN=ON9'a"I,JZrʊTڶ6NUcWC'f7rm5+r#uIkZݦDڵ7­1K!{%M%rԦicgD{cUU6bi1ص>{VeY$Szݫkw+Sjh0 dY1I-s(گt:hkձZ^vyUȻ8'xW9潪EENvz9StlؽVTW1:tFFZdMMkJ ;yĿ*Pw~Uk8dpfY["9zT׻I\o^~ ,q:ޮr;'Ț4-]*v(܅ :9.F,GtVWsMݤd~ܽncrr= 1=c=XV=6k=a7ᩙ ,dĎ2"ڋ5կjTEVQHaї+${I7*z/^kQ:̷cuH\ܜGrIo[~<ʨ}[e?OgT> ;yĿ*Pw~Uk8ŗc879~BT^W7+WKtsW8V."Elv&|GFTMtJujՉe^V5^D:l{2xy㭚H]*DvQ^WZr75Xx}y()="Qd&SקG'Tn|KSdlA؎RbsǽutN_}&(R!;^J9JOHTY+IT9:=9熭ylX8`$ֱUU^v'bX&+G#ZƢmUUz""u&sV͖<= qs]f'#1fhևb,Ri5bDo.MUSN^JDvJ@'2uVh-;#J;s ){{3h 5[UU a~UC( ~?*m7|um1$bsQUrmȮTNؽ:x pJyfB;lX^V?957UWK_I?~8V\>ȗsd(+Hn&=Ok\9QUVRZrYg^Ԑ](P`V_\Gm=WW'*UsQQ,d9W61Nfr.6 VC,SVgFEjcѪj=DNF0Df"rYz,\k%֤TD]z*Wi V,K0D|HkXMDDN Zر,pI#cQ6:J/Iax1W:'9ɦDҧTElKW*60炻Z9Y7*W5c#z*%EG?P~<7ʯZ?pd~BX讍jNbUNވ ~?*m?XyP>W-5X/Gb.XsQUUfqqFKOi6-$ QivM.Ң\k3x3j"rjDrhSP?f+.e)p3IL"5*ȮNH4EObqqu#^:EErFzO2pU=m۞Ն֭Zh%ȫڣQsTDFSPV\IۂM$ڑ,274Z]V>EjSx8OZ( !pd´ !J.Iǥ[1t*t{I/EEɟe}nmc15K||\ss&vi('bX&+G#ZƢmUUz""u^ dWűeëc氳,ѽ4'fHQWXj%X?&iJy&s$UȿוSޟ*E@O~ 9ITV֬B Jjj !pd´PC?h <2 vbKlc^EnZޕ:75U:o]OgT> qn [{[VӣsvX0~'q@O߫%U??V= U)Vg"ts9Gͱj-sT y^[%"bI$r5j&UW"']熭ylX8`$ֱUU^vc^zIRVG"LꊋdkO&؊複Jj9mfTT]+#_z|p1fbhg,>wP2&sU"V*5Xr9KxkU䡘-YU$aw\o6QSNkUtn31C43Z;dd}gTkQT]+W O쫇6 GZ.H܏g2&\|iP'95 @O8zPR7S1a2yS]ޖE@?OgT>3V@_ZN( ;yĿ*P'lՖG݁cv{^**m x!^Z"h%bHj9jM >i;[WmknyD_әʒ1[ET]9熭ylX8`$ֱUU^vy޽_NKVfUUUTFMEUUDDUR~#7'l+JɱFލT~)7"5nQ^9/ko<4iQghkiEj,lrmܺz@|KP xQRzC# "ZMiz/G1^NT%#b|.jtx+1Uc='Wrݫ軮i >%xe()=ed&/G'E*'{?b䫈A.!.jJds+xrz;NoDruj>_sse7~o^Io{MP=|_5 HkVttG`(OUl'նP?~8V^q/ʭ}'O<ckߨgo3Vitr7&K675(1ֶGs1"iSMFj[j*5Heh+{czG;z1Nzt֢O VkJMӫ]TtUEEET\|nKp؃Zc20S\*r9U2 :۴] ڭX4DGD^ I=χl|O2].w&ʀ'նPa~UC(O0;*׉#[ļFSAbG>VDQTDcQʆ=|ժX(_!u2Es\jozS^q/ʭ}'٥c#V]|M4R3ZrrZTTQ߷r8&ᜭ(ݽY_,;H{ު.UtDD@3\8es.F1EƧ$\ʪn=t~ɮxg$cEҢ/,pGWIِs5%E #ҦDQo@ v.pgxY_%TT/3jW7+?}ncrr= 1=c=XV=6k=veb r^#{ZnrֹT t8%a[V7"LYܨ?JC? 'Mi'W'.חsSoIǒ=햾2AjU5Ț_I{G5];ta~UC( < qn[x2R+NTmIٽ鮺Eݺ&e2Y%]ݵWiW{Do7*?NDED:24WНl{t,I={:=jX,nDkըr"w\~qsjݹRf͛r#GB#QkQDDFBПWK_I?1қOj YbeFӦUc{~'9I[fQ]iѪ75Z\kma'WbG-f!ju{[,kG=vv1(ru$m)#z=yQH$DEV=U7EEETTTsUZxjזʼncIkUU舉f2އRa^[E'OʍJK+G]߳ {8]+Qju{KW؊Mυq"gbcY]hѪU옪TW=ڛ˔Ie "ȱccZ^pA ZWpQcQ4:h{.IOnNMv!K(O54vעm.so[<"mc,&2i*5V9v{)NH-Փ\HiQSm^D_ĸX% k/WM1#&j*9UdVK{ע@2GL]|VO Xsu$nD{mwG"oF_5$?55^O,RDrU\F',NEڱ/tqڕu6$NG9}Z[Fc?XyP~<ʨ}[ew~Uk8'q@bjoQ% ƽU#G*EknFޠn>'AGĘ1Ng>Wtb,HUEYZmQ[oӎ p[&&DҪ.J: 97lؖԷ#GZY:=W|#Q2**/T] 3q~ۿxyʳcHrw&WHɞ棻әzUMTUܒ8}fD^r/Eމ׻f 1o8E#WwDrHwz(Ч: V=CiU]5:&Ut>f[3oV'rdD],p5y=s\w]"c[ ۴W %|4IcVOwu987Ugsk[j'UDV˵FD"\ ;yĿ*Pw~Uk8~<ʨ}[e?OgT> ;yĿ*Pw~Uk8~<ʨ}[e?OgT> ;yĿ*Pw~Uk8~<ʨ}[e?OgT>?/sw%NKu λ[=eDkץWmʍntslq^Z*33V@_ZN( >4k\ 5$ˌ㍪=:/sw@ <~+dy\] PrO /3"kw*MW]'}Xux߲cxM㩐|ӯwVxz{Sl O\]#,_< yb9W~@Xux߲gD9^Uv+\Ob*B3ĕ-xzh(LcZƋ.ڝ?fǞXux߲'s/sw@ <~+dy\] P,_< yb9W~3e%V#sDs\rtQSبa\]&? q%L~*xmQG#fDZF/HsWרGXux߲'s/sw@ <~+dy\] PrO /3"kw*MW]'}Xux߲cxM㩐|ӯwVxz{Sl O\]#,_< yb9W~@Xux߲gD9^Uv+\Ob*B3ĕ-xzh(LcZƋ.ڝ?fǞXux߲'s/sw@ <~+dy\] P,_< yb9W~3e%V#sDs\rtQSبa\]&? q%L~*xmQG#fDZF/HsWרGXux߲'s/sw@ <~+dy\] PrO /3"kw*MW]'}Xux߲cxM㩐|ӯwVxz{Sl O\]#,_< yb9W~@SUl%v'YVWcBۥ5ngK*DU= }0\-əBjڽEscv^EI%C+9JM;QzT:˹i3Yz)Q!,{N*F#^gi͠ xU&r"tShtx*UQB)!xr5s#F5"i4S[xNv;Ybv{aF=VQz?ޜtߟp~ 7uؤXȍ^VVr*\Uq?Vj%Rݧ߻"tEEsQCCv{-e{ԊӢs4vozkzwn_& NfoRfG+Xli*+DNskH۲=C~(}7;^^߰ {ոK:WU$s$ےvu7^F}ׯQGJ]ztTMw \7R>GTڭmȜW=Qگ2*N@G4ߔ^ӵ=>N] gr/-;; zDJT$s+g1o@G2~|NV[X SuiautJڵʓ3]MYگ4׵ShQSC/aW=*PבѪUb5U6j&\lE$uca ͻWm{ys]";e2^Jn۾ֲVI5V'"&QjI09N'ׯe{o&d5b'EM6%N9=):^*Uc޽{_=': #e|lsuvֹQjw8'4(QNO9|;Nϓ۽/ݣBkר#rDw.Eܽ:*&HA5=vA2tcUʍm\FTanT9NvWŒ{Xz39Wz<Abq?^{+y4U;$)md{:.zZgq&b`f2"5yZKUZȪr{yW'ad<@)׷^s+cEVʎ^V+W?6lKnsJzR;{ubUN9{*=qB]×{ݏkӴ9OxA-EQnLݔ[Tnj++/"(VBQ&2%Fܞ7FzƎڵ9;".2n.&Kosb\E]'~Zoi ~>S5+]ubFǶ&ĊDDj/6Q;C?٠F`%t:ƂDJFIFddC  !"$"$C"" E!"7v1UV#2AB$4Q38Wa R%'5FS ?X67_1/z?Q9/o=s]S|gory3]S|g.>kyfTF5kxTF5<Fz˪tϚ=e?Ѻgv,3?ǏYuOn]0g7L]S|g[gRsoSu(NIv$N(/ʟ§(?YuOn]֛OJrWw}zMvqsv@TF5>gwT_Sc?>Sg7L]S|g.>kxTF5<Fz˪tϚ=e?Ѻgv,3?ǜklN-zNQ^I.aZĕީU9SxT|F8n w>?ҽ+_q6+>/o? _YuOn]Ǭ7L3]S|g.>kyfTF5kxTF5<g:Ԝ:[J8n];+S r"'O]S|g࿧q+Ҽ\gnkr#=e?Ѻgv3?ǖ`YuOn]Ǭ7L3]S|g.>kyfs;gRqY%Ns7JǴV5WA8odO.Wote?Ѻgv;[ }s!^2Ox,W8ϔ.>kxTF5<Fz˪tϚ=e?Ѻgv,3?ǏYuOn]0g7L3Z:KzGWrKGwֱ%wqA}|NT^9D_$ю6OJrWw}zMvqs]S|g.>kyfTF5>gwT_Sc?>P83?ǏYuOn]0g7L]S|g'lyV_\Xe}wXG܎VX}"*Ujw**9<3ho 9Bλ{>4ory3ho 9B̌{>}NP zEmJx]^8+Td+i{&ᨈk{GSۯu ڌ.UHpםRih6);T4c\DNEVAory1EϳS`٨G\ͺMWĖYQXX+dEO5S@l٬Rv{b!E UN樈5|99T `fɓuzWJZ$*,mN<˓ˎUho 9BtLܯXvVv%{W|OH/z,Sȼ|WFg V}&Kth٥SVNTZD]/)kM`^+$ŕFtOнUc\D.\u`,ߵZ@ 9RG~Ft{3>kZFƱkZ5?]L뷹 ἏHYߴ|7fFb= ᾧ(Yory#:C|o#`Fb= ᾧ(Y}Gxo`Fu܆G,λ{>4}Gxodf#~r6znLӚ)ّk^k\Ƣx^@܆G,Y/ٛe4u2m2dDr"#rsªshFb= ᾧ(Y}Gxo`dZ/FiۭӷC<F'Ø毛\抅Gj]٥ٲ6^Z^覝wx^8TE?]o ~B0tYN8bd*:N)9DT_o*s'0s``:õӣ>NhW_ػ'+c$#{܍Oey^9UF#1S,뷹 ἏHYv!|7i 0#1S,G7 0#:C|o#dg]o ~Bgj=vW j\.>Kb624zTWr#\/;F9憘Lrb2[n]ĸssUr+{X֫܈UT˻ǪeMgϧS]s_%fAfxQqs /\s3-aCjOz[#{|9o4ory:C}4YN.6kc6S'jܞU+QBI׿>GֻG(/dtcؼʏ|4<͛uSwgQWUdUUlr%dLd=d(TsBZkѣZ+D`ёƧ cZMj"""'"`It-g[Ε}I33;vHG9r-۷J.S"Bh6<\JckJ"+fe՝V5~o[ۆK1K0#U7egnIQ⍏CFgtCOǖ:I^5gkU\6f؉  Mc.Ӧ2]]ږcF9͚jx܈6CP]b2ּrE 獩qB iVqEv')7XTXczo<9љ;qcT"%ccVw Ds%Gr`>4-տF6aRM rr׵***y*)G֓4_gadOoAj"1-+X!b9˖V#^X<\LN2-r5;DN\*y몟hG5|^ٱdչ f*51Hڏ|=O$lzVɕzsb39;5wk.cʬ#FeG?"7s5dG,dgոbdmnxV mroW*2 {kJ+rѭ؁3/xdwZWCcTsYKƬp-t9?7I Vpk1&W\c e&"A3_Rw71W- E)rp{ikTl2,i^79th9ȫ$cc-b/*G#Q\DʫfgioHuf5q-Dm\\vY;j4+NDs܀<۵}zvdcHH{Y%9+VƯw.uNZe~KXFx8bS{kXbuy2>(_+}IGCo0DB$^#`{\||g$)^<oe]Mu&1_&*+X+.5|aW{~<[ԬOXbYڡY. .ԑ^=5\HWI\BS7#l+7f*[Vc1sL]OIǽw:9aY̲B$^a}Gxodf#~r)3;fؽc{n-5ǻ,׆5"%F9lC_6 ]:lSv,$hƹj+ܭ;Ti;!;켙 Q8jsr%juNu*r9<#+~$f}W7kXֵcֵj"~*ߴrؚ=PH9Ek\) ׹ZD᎑\lj>tK9dEDcH5ȏkڋ؏xcP:sc ^}k{\jDos< k#\i'aV滜dޏf'WÞ_]s\9e4m {λ\ͅWXkGl$K4b,oѝ#XAft3X(FڵD_k۔եmLE;3,wX1\#\ױ6hLLڪgx|9V;x̜ Sl5kdwk"PX<\LN2-r5;DN\*yOr쾵e&Nx[CYɾeV:F`YZtH]u? ׂ"竵,ڭ&[;4r2+1Y;ɐ爵k+XnW1rHG lKokt]hZ+VdktV oƱfQu$"^-{=8L]XN[і+ؕ.UΎrW#3↹ٝܥ܊,+$Tr+sl+wwOBaŕ}ڑ7]JƮNTV2F$q370MڷklvzI w&ma%Y<!ewHđ#ad+SJyǮ^dbf#j=UaUÙ|q Fz3DzzKIU7jct{/xUX;Jſb-.zw{h(MY'֨見\JcV6/͓'wE(<I]58UUXڜ"y9W'tΉbį~J%EYڼy*f#~rv!|7i 237φ?M!fGڋ}-#;c⫯b#u<^dXuW}Y*L߫17=ðڰ"ScUtONXzr9V uGz/ ySz~("*9`fe]6إ\ϱUd[YXr1ԴRV*J~'C k3Z[bxVhgv <㕋OQZy#ZvQYJ@U5еqйcI9Ej:]fKmvD^` knsw, ɳx9Mo~ V=BMo$|jȽ1{Z^ȫ.o~+]]v>,E7L}!Wぽkl99I"||3l.q-%: %Ktlu^}XWgdO~I_>g5ҶJlް(y+5S+xQ 4f9YV YȓߙNW8ԒٍkʫQ|+`TU_uh@&&dtVatq`PuǪY;Ye5xd&[G&Z$hȩݒi"8,19%rxSrœ2RYҢ2#;2K7 ie%dOI b6e9Qѹ*^z΅J(ףF5jV1#NƵcξQ%ѧ|ӵy{"EDu/~ŻOG_z]G wcDGqyUwp0G7 23ho 9Bλ{>4oryI?&man"̴Je "?sEb#UU炰>yJnr)vjU/*NɕpۆGr'⨊/yk &ٿYrsYx5zNk'b`t0=>ujxqFk˕Uxj"rS 9ҋsx(Ga[މ4cc]#;\99u,wCvl&ce[Y*%BnFj"XedOF}=0z]*X{8/aA^UZC#$r6>?,o}3?q^'q|yI"EW欩r9z=|o@iֵm1gjĶcVJJt6I3]+9gciְ=o㱕3(f nPH#,9ûʖZF{$%gH/^3ZRf"ؒXBU6π#b'#WZM!kZ޷manبKcrUmڎw޾^~nQ 13в{ccpt,Mrx*1J\sXwkZz9hFK:xz'5ڑȩʣXror9v䡗E3ޯJB0Ef{\MkWXAYcdg"K69])wd`sxm³+)F~|QOt3A`)S)p(\[ -X9t:8KM; qmeQ2̈EsWx%060g3c&Q+,*xjWĶS -֥*¯VqS?#Z|(MU""+(V ?YlJtTnI4qEz֬J#^Q}|ME^xT_4ٵt/sK4ץtY{1Čk"Errߴ|7fFb= ᾧ(YY^A&Ow#FUTڅ>"9%gosN"dy~]RO0Z_OW5{1ٖV趤ڳ/a#c9rqʫgGq]AjS6z[~K/fYE \"2&XW+[E[0#:C|o#dg]o ~B}^Fl6et%9#j̎Ɗ~(QRߴCZ16\dڏoc{Z_m!ZW%cᅘ-&,R&^gj6ZQcVQ"+f}#y~XUrU1t:b:yeƪo=uU8mrÜ%%Z#gdlcU'c媎Wq<,u'd ]7^F"{5'ҰޭNnWUWyp4NT~3 뗬C]e߉ 'y+UO5dʍG5Yfqұ)B[Q*Y3^*Xc9w{ZcتNUY_P0yuΌR`v|m&$ sFȎϥڅ; {=6fK/o+</"蠉\$UUWU{@3>oWikInүfvѮV"~Fg5cU9Fv9[Mgaݞ%İx69 ej1b_v,ηt-Ge[%^vIU$W{Qy5iC+kf~f(r;jQؑV{cX{gheRպA +W)fE'{eYiz$U,,WZٝuc*V&SVRۆ"-Us*У^թZ&ƌ&58kkQ<ݻPmk'Lm`zʽVeYU|QoNQ˓oh>+vŕ۳*2N)_ͧ*F #enuG{Ad9 )$u",w}{yUW(hU(њlvO)o#z:(cI'3;5c${5k- թmPl2y:':؞(ej7ۑ}sʍ^gQlV| \l&VsVZv#eTj#/%Vp櫚t5cu;gkdTY+XlQc#$R5U|ENUb 0>#R,v͑jE4cx¢(3կC_&1klAҍGnQc8hjk? yr%-<5 yToosS_d=ZiC[7ZϋZoZ%{(^{Y1+ihlΥðֹdriE58{XNDUO6N|tmt-uݘl%{~ cW#\䊨ޥ-|_DM+P12x(F*/O5杞';[\| ޞ~i.K~Nl9U;^z9EV/D1M5hC L%r,/cN]ڑ$􎼁 77W>fXCo$-UI{U9Ⱦ}OW{pj[ R ʐYkkjV7*-)YčꈵwGX:'θQQ3#]X{)׫Hm'[0؆{bObIJ=K,w|/ tTBz4kCVh C28kSɭDDDDDCCg1_(9c7Y/UV,1TEj'dzSHbj2xYcorUP6`fɃw%IQ2v)I" +|UQ8 G7 390taџ'4O]NF'<O4?* l&'Ëc)c(AUa>+DDʪ'⪧Fu܆G,λ{>4z! >Uѭim_FUI^ßrjrn Ս }[1<\Vuk k==ȭ_+]Ó?>Z5éyq,2֍csHQVWHᣛ ߷VYJ:iDdq1˞/Z䈇o|T?@Ŧv,ndV{I$rW'31ѤP)U-ͯ6B~˙$Nc"*>(#gI]ix_wÅ^2΂ Ŧ*wښ7>ht9\损o[t~jY?RXd[#b[Ֆf+\$4=^byl-1ޡJ*KX*Db{QTErw9UU^UW]6FKxw8dDluծ{Fxȉ#Utg{ C&W :|){Z\o-TRٌO-6#ɡGQk$KX|Vܲ]_U\EW+Z{>}NP#1S,뷹 ἏHYv!|7i 0'm=#њ ~rf__ 5Q̎UEQysmtxdž<%Mo{İFDZ̑~ *#:F4̣~|%OIΒvUU"=܊f߷VYJ:iDdq1˞/Z䈇ڳm[]9qغ1x,JDDO79UQUDDUTC[1 .ՈN7#Cl5(亳X#97ʐn5sϒ6gnGYMGT|Q+!QܑO%|oZKlx"DƱކuSkw.t,K#$y{9r"g:c2}Nβ'͕4mHUt%!G?4HtmF#f]c{,27ejMGT3QD]v^9Q=U@9/C2[_4sU$G$rw+"sUv=QȫFi쎻coUpev"J9{r*juCFMf7jT{.N",֖I;Qj#{NR6(ޭ bt34hc1_'5QUQLe_N2ףGۆT^oo? Z~މK'gz像7feIxGv9Zv=?=檱ȎNSCxmYI[;6{U>)ff62h^mMFct#{u.5u}/=ַlY7GݿEwjwn`&{慮bEDOEw{+XkZʫ;l0΀z6o|xe*X52)}*qZDb^70}Gxodf#~rv!|7i 237φ?M!f3a VҶKؘ|9d%Wi#rGL35jf 2imyirk\克ߦ""=Q-ErNT[ۼ9V kv#;F/ʼnWb~*"5Uʨ~-oi:YVשR~-x#O9%z#S5UFIZ>W`Wz>acGmc]zFTeH9];xw kXPj R߷t}|}cX5mmQ}_\nԫvr6blK=ޏc{Z_3tG/Ѷloev$9JhֹUȭxG"940V:ܴ e[A٠g\'ឌsm]r8xDTT_6TTTEECa3Mt5|zW2MҬt5F9OFzySxjm3JgiYu\/# CvNc{y^SMsR >k].زf)ÌXk-v_VccFΙQS W Ìg.Ej,Y(VUU}fQ׆wRƐjV6LQrGܝ"#`u V ֽ6ju7>[eWI9UUUUUUUUG7 23ho 9BgK?/Lk)3;fؽc{n-5ǻ,׆5"%F9lC_6 ]:lSv,$hƹj+ܭ7φ?M!fc9؋gNQ7+W!K`=u6o,Ѻ9VȊjٳY 4fC'wu˖1Ί> Q8jsr2n#3O|Ւ:EcU,G͉ѪE.U8԰YJ .H9$R5pENZ*"ߩVoVK1:4|rØ毓䨦e։m=>g+yDƹWٌ Phj= >7:Y[6$W++EUF#VI[f) bʟG*=# 䎑;jVV+Q.{+g'=qh{ֵ kDUUP;ser)sRw0zssU&REs56em*O?6U8V;ZsZ"4eqʚWXʼnF ]ɨJzĨȌns6in:.^QQSͮEDTr*+UQQQ2ȥzk4p~OZ6oƵXEI#dI;y4l&[ÔddOZ;fN+WUEȨ/⊀~ ϯt vWYƫRc}Αd@9_*wpZdu ֳ =j6԰"9j}m{ͫs|NGbxnfj;Z0đS"*"FXʷwd⨲{'ң +F {SO'*@{>}NP3'w+{'^#2Kދ7yTr/-_.8UрLuM طe̮Y▇+ʍ\C#=W*I9+$X{[ƹѫډ\YjuNu*r9<#+~$f}W7kXֵcֵj"~*orydiM;7wm9veLt|LLbr+V *k >nXݯ 4*15-׎^SEW;Z\'k!Smz uS$ܪEGJ3/c\{UfNKaײ0qwk؉}ਨmr**+UZt2U-f\GGT|Q;gs|hܰ®zDE k5KB>Sų"7;ֹQEr"u9L]+6]kr'"5xUUk{b^/)z[r=Ϩ/ͱx&L'}NP#1S,뷹 ἏHYv!|7i 0t;n>,fJnZf+!ƶ6~ Ӈ1sbzg?QZzNnTXRLխwƵ#QQWfn5Q blO cO'5QQQSQOŲk (x7ip6NisUDFUU35xUHC Iēxr*#kQFIھϝΒזFGm%hnH_:w=br*8UTNFڷo'_^tI)=6E+{G"rpV/ wV (^5*🊪?z VlXxnKNTsQ?VbUD^PKMm3wl6Xz{-g|]cQ"7^u0O[oNw< +,嫶VwD鞞o^IhkNۂL^؛!Z޳$tv3sUDVTȳ9&hǃfjG*L/eEDz5討NLںZk_[b'gz"B9EFU]p~ᦙVvOU#gZ='=]F*/o=ݍN;?+P1}lgQ]<٪icTl,lڝ%ث3LX:ל7o,ݖ4ocY5SzRXē‹8shs2ƭ)[WK,ƮgcJVO7y{Ko WEA$'U ʈG""+kZkZ1cZf#~rߴ|7fg]o ~B̌뷹 ἏHYߴ|7fFb= ᾧ(Yn[m_&R75fbWdm^{xzNP/]o ~BGc=z/zH{N Ţwpwq `}Gxodf#~rm ?ֿww*H^8x%.#XmU=\s)|@6{=A?X׷TSGj]٥ٲ6^Z^覝wx^8TE?]o ~B0tYN8bd*:N)9DT_o*s'0s``:õӣ>NhW_ػ'+c$#{܍Oey^9UF#1S,뷹 ἏHYv!|7i 0#1S,G7 0#:C|o#dg]o ~BG7 23ho 9Bλ{>4ory3ho 9B̌{>}NPF}럖&elY36`x̥5o,|)^r8>/ 竞c\~/s}\-V-L^P׳#^Z{Zk*[*ibM+MV {E3tAvqش=g`*ݒ:i\%fu7w؎F9᣻;QDD %&9gbh2*VCF w.c⨝ٳY 4fC'wu˖1Ί> Q8jsr3m[:QXgems|؞J9,_=ʼ"'<""ifɓuzWJZ$*,mN<˓ˎU:` Dk{^enbW%w,^U<܋Wˎtb3ho 9Bλ{>4ory3ho 9B̌{>}NP37φ?M!fI(ѭ5vu1ksUw?2߶yz廟əof|l[Zjس 2ڕa$Fgc݌{O>I/s̷퉝w6=*<6,8ܖ;?*K ;rhr?*k ?-L~}럖&el#>w?2߶yz廟əofϼs̷^nf[Y3/\s3-a~[ջ f16Y!s|oV=潮jECd4x}rLsi3ykMo~U>F;TNx^ os̷퀳g^nf[/\s3-`,~[?-L~ 0F}럖&el>w?2߶ź 0-VDkz1V1ǻ_6nsfnKWO%\4m9_kR/\s3-`,~[?-L~ 0F}럖&el>w?2߶yz廟əos̷퀳>4ջ f16Y!s|oV=潮jEBK/\s3-bg/[npM&o-iʻؚ'rr1~) ¢#>w?2߶yz廟əofϼs̷^nf[Y3/\s3-a~[gź 0-VDkz1V1ǻ_?-L~ؙܷ|^CcҭnrÌj㿣ĸ됣Z&'+s"ϼs̷^nf[Y3/\s3-a~[`?-L~}럖&el#>w?2߶yz廟əo[J[jvae>)Gcتk~(T_4>MM-8&7G]SlMmuOj9?QP?-L~ 0F}럖&el>w?2߶yz廟əos̷퀳g^nf[/\s3-`+l[Zjس 2ڕa$Fgc݌{O>On[/!V9afqT\uQ-~WFU)w?2߶yz廟əos̷퀳g^nf[/\s3-`,~[?-L~ 3J[jvae>)Gcتk~(T_4$w?2߶&zi庙6f֚|w-G#**3/\s3-a~[`?-L~}럖&el#>w?2߶yz廟əof|l[Zjس 2ڕa$Fgc݌{O>I/s̷퉝w6=*<6,8ܖ;?*K ;rhr?*k ?-L~}럖&el#>w?2߶yz廟əo{>}NP3"Tl<~j1UY.Gf,s,FwkeUQ=4fuJZͲ߯\csXYd##b'?7K~)4MYA{|(.kٕs#nFܪpώW22{QiQ|1#,9dmUr8kIr3սSe|g>4bv2zy:_S1v6CNAV\dG7>'1W+Q߷;B{K^bYbdzƊƣWSw*'gKrɑKR%Z Qeʤi]$H5˓y5'Ib[X-2J3W#́權_vky;Z/{^elį~J/z,Sȼ|Wg~M]wzl{#7.ⵌ䘻CƮ[+jv|e$sL*q$*DF/ ͙ީ3wu)C#Ԏ|\U۟]+Qkiڠh-տF6aRM rr׵***y*)'ktZ/I X|*-c(!@ Т:wr 纴*ws%b=X9zZ1:OI<]*{"Jr˕Iv$H3kS \B޳k-WWz:skt.<_l%9 \7-n&cʉܰDENJeR[uY;̵1tr^AbAeC HG9ȭ{"s{V^YY/^b?us输x>www`$n:[eLbZT="/>ylHW '.Tj}WjNu+v ,dQ܌'Uzk"5U|O]G)YNZjmWH$S2G+}{j T=[}Ce?J GN}|ΞXeܧ sԴ뗙ZgT_C,l{cW~$oTETczcYe<"  ._m6B9̎Elڲr԰l1pܷNw *'r8r*sHΉzGMO_OE/K0fuJZͲ߯\csXYd##b'6f3dN=+Vk(UXG;Ygk;/[z4ޏv{]wvgtg5a5W/X9+[}ky٠FbgTuH[5{JFIFddC  !"$"$C"" L  !6v"1UV#AQ2$%8B3Ra 7W&CESbgqt ?X tsVTގ_ZI^XUHRTFXkʫW 3uH~S.>+xTF<Fz˪tϊ=e?Ѻgv,Χu'eq;'RV7`dM(*#rsªse?Ѻgv;_G>~ףgDw+?3?ǏYuOn]0g7L]S|Wg.>+xTF<g6vΤPKn7bzm6<4dE_@V88Grs˪tϊwW0^boJ m>zD_ϗoq y Fz˪tϊ=e?Ѻgv,3?ǏYuOn]0g7L]S|Wg.>+yj{gRv]Wu(ehvMIXj9;'<*?ML}W^x}/Y*K.>+xTF<Fz˪tϊ=e?Ѻgv,3?ǏYuOn]0g7LYglLU qNQv'cF@U{lSw*':1\zFٽ+1(?ωw>]/=q/7L]S|Wg.>+xTF<Fz˪tϊ=e?Ѻgv,3?ǏYuOn]0sIu\NGIԣ 6a$k%b=J u;?YuOn]D}W:ϥz_1GQ5o=rg7L]S|Wg.>+xTF<Fz˪tϊ=e?Ѻgv,͝0mT5:۽F؞M cW9U8ENܪp~3?ǝoһ}r|-Wsq}3?ǏYuOn]0g7L]S|Wg.>+xTF<Fz˪tϊuԝUttJ:Z0݁m6FV#ڎD SF:m_G>~ףgDw+?˪tϊ=e?Ѻgv,3?ǏYuOn]0g7L]S|Wg.>+yY:C\~-l݉ѐ>=}[,Tʧ Όt0^boJ m>zD_ϗoq yK.>+xTF<Fz˪tϊ=e?Ѻgv,3?ǏYuOn]0g7L]S|Wg{gRv]Wu(ehvMIXj9;'<*?N]S|Wg0_U|^mz>xMgo+o+xTF<g}~ޟ*Te}=yl]:ݮQ\$_3@#:y0_6Y#:ywQ8̌G〳OdhɂB̌'4}|ڡf-s:M6xuR[bdl# +R*5WSj)#:ywQ8,9/^;նܤVj͊Ē–^إJꪌ&/0b΢Wl蝰@Bj, ة=ܜ"5S'<If{T׾ŒTXcr~ ')䪞g0dF/T,̛;6k!ӷݛ &EZ Q8jsrmJ./I4u2f;TIXrU9x9sdnZJז ]I+G#Uo_5F~t,^͚ZjWyICY$y>ޞ{]y!N8#:ywQ8,Fu>`mP#:y0_6Y#:ywQ8̌G〳OdhɂB̌'4}|ڡfG23uH~SgY=& 23j3uH~S9;śhrY{d?c$j=ȑ$D\FtqY'4}|ڡfFu>`mPOR:ñ}iRm Sj챑W+1UBcbsQ.^C+6"F/RP^ULƫ*s jdgO=?m ң^.AbcHz/79UU|UN`ɺp\^FݚY0}dmDj{w1JrxTQHβ{#GLͪ`Ξ{]y!N8#:ywQ8,Fu>`mP#:y0_6Y#:ywQ8̌G〳6Vn;Fv.^-b~*"5Uʨf|Y+)Pŵrv}Fsܨ˕9_Q0u箻tbXLI,^؆<{$dRUcd{g{%ro.C͗:Yf}7dF݅ᄇZq˾<șs`ø{QW}gwvlH~`/2c&$ |*pj;~ 6'sDEy}=Vjw1n~|s%1Mo]SwryCeY\9L&NNshr{^T^(Уb0թZ'MsVxiw}x{3Zsgd ]Gq7rvk'M횮Y\.{7㹼rSzdcI]m,h=O#(XF# 3$XZՍΏOϨk_W)ܭQKج׊!lGVz/e_{ׇ~ӵ >>lb#{!R_b//(^QQi~vjPn*o|]n{܍j""*f裑~ydsLvTcܮt.+Z+>f[.y}D!O.F'QUʡ clvHs~ /o=Džrx;^2Ωm C+n{ϖ-j7 #%U{~Zu^-kUڕsMV\_QdbH[ +RW:dظ^C݀]ֳnVbZs{dHSUcѽs3jOdhɂBk$?)dgO=? uhQzjԭyFGr5HKm']~k4J*Vųzi$_$j⪨UO)[^ɳJnRmt䢑gW>gcĊsV(Qt|;Tr=Fqh|1 YY$Ki]J­lo@K v}([]f7N!;!kr֞vjV㣥{Qj]jgVb%59$Ƭ,/XtJo:oOùdnܲRCir9J_=wUl|EjL] ..n6]ʈs9r9\=ʮsrUӉ>CK,e&BܿŎ_pᨍNOi !f}K62'iK姌:Vdikbz;sZ@Z>_ײtn%-Z uDk"r֍j6uwxkl{'UJ*AHvfY$DlOe6'cF+c>}3>t, <7?ZƲ +rx4gގH1&wr: \~'- dUzv6ّ3F[5V ]&;x9LE?#btJׯq$*Ց%jxOu~ɦ#lKslw ^6$̩Q\ԑ.s/,u,l (ӍVALOW9!YkʒM-GvC Fl}pu2Č{FO,xKԵ"jdR:F4&w9M2]Fk2u|d2ŷi$r5$i"{HU#fM5]3SǻfBqzBG,3gƲ(QCY/.W*ف3M-;^N Sjx{0 )C92V^7ĊFUD_}Fu>`mP#:y0_6Yf/U]%7ZԊ&,J{wk^W#yFv#fr4/nÐS{bUZ&,hs$r/^8Nܴv,'1s5bfֻ4r3Z$rHc1U<\^SG&a-YmvI4mla]9dc^ݪ~nz5m)A)b$𥗶)R&/ﴳgحz'l=lP#jv*Of7w'MT(x {6jYk^+$V k+sdW?5zywQ8+hM%5MRjr^+HUScsU/ky<;3L}٣1ɲ sZDr:y\ȹFJYr} ~sv^C+̹HϙLF㘔{qkl6䑣}6Mxf̈́)M`XNXFg*xuԙIXY '\\8l h^s{W=r{\9\UUS&$·OyKV^|ݕf_ pzWl|Y] .lnJs5=j潪kj)޴&z3[Jw+7%8Xdu˶xbd}^In/_?<+ml+џ$V:Չq9L166:7,}]QO3Zfbhgd3j|=RIZֱ$nj>z2Dkrc][.2GF2j/4v:nTW+bnmJ,M&[5ߛmlaֳȒwXޓ-z<䑏ethx@_9z mVmODG䧒kZثwc&oڨyU6Zl-W294,X*ڑ$ ̉c ^rAnux&O"5({ͷujfɃ4X&ӍWM$K#Jx&9j9|~JV"*8sShUܛ5\^yû5:X8jXĬY_Fضۃψ:i y:.T(X֧tw*M:rxgl ],/c.~3TӪʮfcUl/Gv]$n#&FD4R 5ѭ Zl0A hcSO&`鷝gj][7C'YW3ȨksUQxsQ܀8"f&9/>,"Qs!tprk_F{[haMVͻ>j-,uI"W6%OZU{RO 'zN_\R Zk͗*ܟ,҇)X&yq+HҵZ\G*38]8M[ђ^jVG#,^orr3-,i+qXdOH{ j%3^ҤIY6Y5.u3XtݚMYl'MW '7qQы4]G5Z^ܵVك7rkZ3ȭ^Z5r9cǵ{9WO+~ٵ W!I$|u[ }ًIjXzUF#<z١n5Q blO cO'5QQQSQNcɽ6wXxWϽ>9#ɃJB/sXώTs?NKaײ0qwk؉~TT_6TTTEE@;0 5Ͱzz֮഍{"VH[u~^wVOvwr ^d:Ϋdq={VK$n,uN\1'jjk{q5\g'MNkކt6ѓ:;w%r/J{s"s:GubvɴVЍ^Y)pG<-=9 .cZQU1sSFoI1;JHrllzV HpJ)fk콪b_\h/Rn}DjΒ iXHa'16 REc;ލNZ pЩVhֆJ6 4dq1X֧Z䈇0GsS,k6Y`I zyTT_3&mIjگjuu1>܈B֯x 'txch[n#Gm+檱ܲGvpI'4}|ڡfFu>`mPFtqřk$?)fijVjd'=29,ANkbpβWڨ'>Z'Cv b7,S${Q9DDEQToAwZ>Ȳ<6.Y|QE2WaUz=r;ª=?D{l_ݡ镤TAo^׷Z/ Z:~ޟQf_#HGQeElqحe)zZ$)%ˍd \,khlDZ̀=Az像7feIxGv9Zv=?=檱ȎNSCFX{qǵ*39l5W9ض,,C>&uidjUaUVP@QUllnC˚QꆙkK鶻]9sY_k/sabu:$n<7Ŋ*eD'+s:\aѷiԡ׺q4-X ٕ|FdV"GHĨvMF/XL_z3_d]Z8zY%͍/ O>5{y>5arMe ijU[J)ƽ1>9llo(yjpr/r>HjO6&Jϸ;{$4W;*+xJ_N&lk.H{JNyF(o n5Q blO cO'5QQQSQN`#:y0_6YdF/T,ahx-פ,6_Z=*xv&skVFq?]/zGw_0U/InFZfk񕰧79ΰD^xDEWpׇX#:;]oz՝en\$i\*"58kXF3uH~S,Ξ{]y!N8 0U|辗mޏvxNgw os)ܑv؆G@0Zgnٲ[Fʾncz5Qw6ᚌm*Walz*ryIG+~NXy7[m0 vh[w^Y"׵+&kUaZ#bLz0LV'{i^"'&cb'v"w5Ȝ!ryچ,5=YY>hbgtjgtLcM*B~}nҥ6[VNƯEY-*i'E^\Tc4̽Efg܋ K 鱾̲cs%HZ弱g;&eO`.׼2 WC_UQ46>HyqqfIJ{~F{19kFȌj^||IܪYX|/Wqqw'%oxnC?O5u|nvS_l%VG#| 0Zr5iЩVhֆJ6 4dq1X֧Z䈀sH*n+zhl~dڏD_ȿ+QS bg0wH="BmEHkU9jr>۫wZ,f&s|pb׵TQZh\ЗlgY=& 23j_'Vyn~ ze]b_3W:EV"?E:8&:1\8::Uomseg-W9o;<=NSЮ:XZQx'jÍs NST@1ZY~:W`E8ꗥ9cW4bwr's$敿F3t?[v&RS2đGEy"GSx9U8Dkm7TCk4O1Ɏon{rrr$]'($nΉ?>k=M_Go㵼v ܀cGO'nf)˓&bU9X쭵ksU<3? Fqϥz_2YZ>xJ;y^{yM0?lͅC+lrD%a鑭rp+w$UDz n8Vӥbmt+dRaЪK^%qdϽ$6>,9L3W2ڡ>uG=W6GWmjRwrļrrfy ئZqy82aV,$wŎǀ$l^m&Mk-@nVklb]%O&ÕUR7L֮>J*6j=_EŹ*^ŞǕVkѯԵ[L] ѭvY{{93;oМ>o1Og,euVrjW$Dj"GW;;8p:nާYg m{]= Sj=;2ƾsJS5~Ũg6cـ'4}|ڡfdI|./#R,>ٲ6^rZM;%^9j*pk Ξ{]y!N8#:ywQ8,λC|o#M!fI(ѭ5vu1ksU/eǵCKd%kt[뛑Fj"NQʊ7.R_Ce 37j^"- |z+NM k,lI+WTTsM|wC믥Wofx]Z"/k]wk+Fh`2P%iFX[ڱ*#QQY:w_x4Rէ]׿/a9tnt/XXқ[PٺAwsX&g*KxH5[{_«4}qbԇ $JWS=)Zr#9#"CMF3_6 .{k!zr#U|6s$kIUwzKbzի{Qo.UUᨉʪ1>uF'b{餹N(em|WMԴ5ҽֶ~|6V=T:=^fjkxdVI]׵"**yB_b10pG"9&)qrʨﲞN>>W"~9U_5р'4}|ڡfFu>`mPFtqřk$?)f,::_X )-Z8|rɣNbgssUl1ϓ3pg-Rէy6VHS kWTᨑ8o۫B׬Vh4"28sɭDEUUD@9=墨4t9hS)*lkV_ȯg]כOj?Sp]:QCX\U8+:Rc^ur9iFB"9Gl9<:-<RZK]d&KLg7m{ZkVtOdΡbW,LN#w27=ƪ/*epٴܵ`mP#:y0_6Y#:ywQ8̌G〳vzQbelޏTix_,lJ:J;K)xv&aB[#Bb=xˍZ$TX፲djoj=oEk;GO12wgwc3ѹЫ_ 9"Ucy{UD=YeQ̘}]AMQ}B6[jFGw#yqc(:78vSѽ#Œŷ؟ k\s܆WJ2=NwA?Z on on֥F8QHwo\F+ދijZXhѽF_VrT@pߩVoVK1:4|rØ毓䨧0Jأz6Yѣ㕎N5|ETT_%E2jtR|6fֺgfVËO"Mu^RU^cUH^ǦpߩVoVK1:4|rØ毓䨠s&ף~v:cZ+ܢ-g}xMOYz,x-wU,׷#w*m_>{β{#GLͪdgY=& 0&WGc5"I5sU׹[\(fxno+o^m۟Ws^lXԣ9'{Q ~9M7ae)޽r*m-[VI4UF99QW/'ak$?)g|56RF"/3VlP$*WUTd1y}x [u#`DQdm_UPNIɪ9<50pКK4kؚ&V,*+櫓^99O%T9غ&RH%[Qw$R5ZENZ&C;Cg_nݒq"cfb"qV:QUclDk1}#5SiSx9'dY'XX+ɓl2j#,$z,Zrw[~}ұvį&F+\{ª*(*8o۫B׬Vh4"28sɭDEUUDB~0Z]z޴[[>ώ5͊&"r7!hwPoWu5qJiث.u3r\zF$XyDrH~߷uT:j='ǐaQ[>7;Ѭb;VߣtEsUz^J$TteTNew p~HDj"%0d]&cjvk)tYy[t; O%8dkXkuM8-.G{ҡ̵,5>k_H|oEEQxQW3A.r~dS$nkeػUWIVȼ+ޠ,; vʵ{,nl7tK$OTFX,JTVڮFf Ya:].*`1T"ȶ?#׹q{NKjt X]*U,P$-jwʬE^=|yrak}#lw1=>q8N\bfƭEQ#G5UV`Fu>`mP2n٬NOvlD2l>,c|ejw$65DD ʦCe193[6d)Ԗ)#E#9ب͇jژ295 jtko_jIkdK #WJ/.V3K5glmfR5vW>HW."ȯ$kqřk$?)fuVǮܒhbkgQWzyhk9k'ͽ5zO[f%Ivi+hg%܂?FGG7tJ9nt C-18YE68G=:j+5앟~׵əhiއSr;t;MRȲ5_ tJՑ2Uj>b[״meqjRNٸmNTޅV'`mP#:y0_6Y#:ywQ8̌G〳!ӪXÏf(Zjf "IOsUEV=d9togs 2A<؇$ie͏1qGH|e!FwE^ĞQұ;y:lPuiʱݏ3WmG4XcY;{Uv~[lQZU,gh'cNj*/ΐܱn35-hڎkXV+drw9qjG}YpFW^Džowcqn 6/^ Zt4cS=_&UW OtRloGrwm\A4vsUW"r"?K?i*pM5j,ffݩV();/TcI$Fʮ8_4>+{ۤt'Ǘq5Uߏl#Nl;_\53lلYg>ܖ"\UH^ᄒk<;_xhTBz4kCVh C28kSɭDDDDD@3.glY-aMy9R["cTYȌVDkQFu>`mP#:y0_6Y#:ywQ8̌G〳OdhɂB̌'4}|ڡfG㆏6S9g'Fjn :* kэXUD:ywQ8,Fu>`mP#:y0_6YfYbS-w4)KE^ԙg"USk9~Reᏻ'-TN冫䪊9<99ELqw{7$-1`~Xg< %SKbsQ.^C+6"F/RP^ULƫ*s jdgO=?m ң^.AbcHz/79UU|UN`ɺp\^FݚY0}dmDj{w1JrxTQHβ{#GLͪ`Ξ{]y!N8#:ywQ8,Fu>`mP#:y0_6Y#:ywQ8̌G〳OdhɂB̌'4}|ڡfG23uH~SgY=& 23jd8 ̧z4%GP]UNB 2{BۃCy{$KP$_ XG=Dϋ=e  U{E#Uo-TT媩*/,] {rzT2V{^hl*?j'.j"sC_FY>J{xz׋-HwF$R9z)[Q+6 N zء5FUTnN|ÓϞQ(5ZS㮾&Vщk\jXLsV_S5"(K?- ~ 0F}럖el>w?2߶iz廟os̷퀳g^nf[/\s3-`+_n/EEam|@"H1Zz7Vdb*+1d|\SnnS w?2߶n5Q blO cO'5QQQSQI/s̷퉞K5,&S ׿Rj/WxrÑSUOϴs̷^nf[Y3/\s3-a~[`K?- ~}럖eluYz*/ mG{ѿ#U<^$w?2߶&r[.nsq7P՞__,tm^[' )k K?- ~}럖el#>w?2߶iz廟ofϴs̷^nf[Y3/\s3-a~[-տF6aRM rr׵***y*)d'x>jXLsV_S5"(K?- ~ 0F}럖el>w?2߶iz廟os̷퀳g^nf[/\s3-`+_n/EEam|@"H1Zz7Vdb*+1d|\SnnS w?2߶n5Q blO cO'5QQQSQI/s̷퉞K5,&S ׿Rj/WxrÑSUOϴs̷^nf[Y3/\s3-a~[`K?- ~}럖eluYz*/ mG{ѿ#U<^$w?2߶&r[.nsq7P՞__,tm^[' )k K?- ~}럖el#>w?2߶iz廟ofϴs̷^nf[Y3/\s3-a~[-տF6aRM rr׵***y*)d'x>jXLsV_S5"(K?- ~ 0F}럖el>w?2߶OdhɂB7Ͷˊ1Krly&ղUk"VGI`kֱr50Ml5b# kkҮXG8s#ƧrQ9T E2xuǾj4J{8ENݪD7vR,Zu[_4L]Ϛ;ϔDo)ʅnٛjmsISFkẺ#QU]WUM}ƍ<:~ޢ˵/_3s $G+]ʢ։ibf]\bR3fb#{[+kc$VI>ԂQR[yV0gcʑYlJ̪k$HH | E2xuǾj4J{8EN<@X<\LN2-r5;DN\*u Dz {{fZbG#8Eҙy_/l]*8v5lXYs"UPΦDWk?;;ygyr |rGk|~Hws*C2@GCv;Z -l}NӼ6ՎH>F6fƌNQY$rv9ǦL3uC).>r ܭkb/OW}](jGwUZ_s2UZ$lͮEG Q?XnO%տh QzW PNG  IHDRPL pHYsaa?itIME !tEXtCommentCreated with The GIMPd%n IDATxݶQElj!~cQ4skM_vbbb f f f fbbV<J4voȄq{61;̅b&d츿0!f`s> f)NK;2Sbf"nBb2<9D̀hp4vuȄ3:+2dĊ4MB5H!L6#̀g#6Mo+~߼bNn30bƄ 1ROcB駱A5^͇"!k}ȿ0ANYBL3 "d fv23H= Ʈ@̀P؋!f@īb1!1ӘAiH@Xи'.\ ٓ߷ dBb]D쩐e}dd_3jkM3WTy11+Bvt&Ȉ'qGD5 (!vك +~gDu1j13~֦>z[a!{&h`2@Ә ROcBf:db3EbGExą]3(4=YA 12drAC(=A14vQl,u~ 15YS+b%;!k `A1!+4?  @1Ә) 12Sb#bh5!f;PQ B7NLibec"dcNi&fPb2!5Č{zDM u@"l5ČӘM!RDM%b(Dq#flň_gCb 5 2"Ok&fQ*l91CĆ>jʹ&fӘqiMČ p2†%]G„ a#dz+="y!l>5b !C8EW5`Y#g9 Nfco^@}ھ*үwgvD?f:3gz iks{ G@WmLa>_5cdD>u"ac)l 2Y|pfZD+Nudv0 b$!d i 1+t*d8 _ge"0#b14.3Qyi1C(5aC2ʅ ČDB f1x" 12Hk󈙐A-Ḡ :+! B}ӛgmi JmoZsNB<32dA)έI1㇈9i VsT0A!f?P̄ (5ʼn P.nY9Oki (3ܛ  n B f ?줈M,H^zdxیݷh RO @OrBgfwR|3A`FN9ޅJ;/M̺ b fp>Ord3p111@@@@3333 1111@@@@3333 c<5;d/d#br3Ygf [ f'eyau[AjMMmb&T\ַW ,`,dx1eZ .o3vZ?[۾}d#&`Tk)V2oIرb(Qm}BҾ8d;x`1}_4tVm[wČ:ˁu*~uGٟ̒{8!pjzUѻQD#c(뎘%d[n?2$x`6;!L;& R['E+YǾM@rn3 f f fbbO݌p]{`2 BYGʟZbe  f*ZBbbwzN f>XA@ e| .l`211@@@@3338?g}CIENDB`n oS.#!Gh&QPNG  IHDR3,T pHYsaa?itIME 6ytEXtCommentCreated with The GIMPd%n IDATxۮH`̼ Qͭz-i^Hjci?ɽ@3a a 00f08c@0 H|P"̴0 u g& 8 q9ڟnfW\Zfv@ȀTa6OA?웽'#sL.z+˼zﳯ1C4C+#e33 @3nŒF) 3a@1fGj8@0[6g>m3;[0fF2@4@qd_ua f\;3H4M0R/V@/ͬbt݈`tS,[[SνBWi4 5GAQs8F88ϙi :قqa$ +Yvax3kx `f _W`4*qs^+/rO/vc椉妋2[{~<9,\2c Z 0saO־LL=ᎶuXOpmݜn\ RO[0tpVQmMK FSFk3BKVE3[{Sac&@A%0+$hU>/0c_UFoaC{3!YqN7iM԰N3J~2axh 3Bfo@fph"d=$07pu̾myHfn6D+Sau+wRY"`xݑ3N}3#< 3@+f|Հ#3 ̸lV3؅YG43@{fX aԽ7 vdC܀ 0fV&1X 3Oif@Av~Y-a9 [`- 0YTa<4wpsyqi ~nna-Nqƌi<j*ƃ&YxYc41fthiax 3ieL8f0Hk%MBޛ +Ko&wn~Af$x00O h3CC'% 3no ТZyo&w#`yofv0f7 % RoggVQ6nlda>NA0r=a;ag1랓0Htm3 4fV&̈t# A&(1j;3 33 z%i^YGa 1maw5P+f!!Ȅ FQfa7Q)LS*̼v A0/8_~5F 0Hf"lCM M0{pZ {[oo7_!Rhf fAQb<3Т LaFvDr\3Єf #f fyOQ1ʈif_-xV;Ю ]ʟa;:׾W^1Ӊgp]tĵ&h{Uk}/W8c 6ϙ-O/7nTc~/oڱU[yM1f~:Ov=w/|垙3Qhf0f @W "(d=FHotQ C) ژY6xu&@3f @7LI-\IENDB``!odgHb.p/=5c~8\ xڕMhA|$&Ĥm*VįMnZ"U뭕ZhB$DA=U/x<7oM@ԅe7fvA"_>v1Qvc z]ʪ#5 a3KJ bl8@?3 )0 C 1sl,pL1\,fNM0eo;Bt.ȵY3e#w=oR! ͪF /G f:(& >dž?VYHۗt2cn>[rYsyxլyZ9@I>69Sc$y_sI?*>CNzTwKta=,\u%;䍏IW[dyXWlIԷSX w=譐^_CԽQ_ =;fY^/0D638'.MeGs-y=R| K&}n{ã%KW9T.Tqo`={lǼGi\5 ~B^ 0Zȹ9.xa!B i\H⇝r2R*F)hX<8LȖL $ <2OhDT.A9hpH@|^L^8ќJSt|HNĎ$]*D`]4B*Ùp-) ёt0KH@|SE`7ISB9''ܾ|->,@H@|/+Kgsl &X 'HuX˟ )Ԯ}-Rq`[ @. ⲙXh^*)  y"l'-&^x}!T|/|$i@'RؐZw&D,j΅! + Ą€KgȤ*"}ʃcRX3> q&Q`bLS@`|:@U8 >I@H@|$ >n8em =ۅܥg}/_a#=6jԘEgi'o+كUUd0\tyG-!M'!gIVH@|c+Rf>ˡ;/MSo^\6ep=JZO0< H@|y6ZE<>320Io`|<`ND'FtIex[J<:s2r(hfFëлw@0Uݝ%!5<߮"2fq9ܐ ˌRiX8a!8DsLHq(g6ńbzFÙ5WU{*K3JQAER.rNJV̒N1hݎ2a.BOo`|<=SJ6Cc%)c[-W ,;c J SBr6gwU\߈t@$:<@ ʰpWU Fc'"|g/5x z3~#ԓG|!א[r7P #(ʵif9\A\ex"'(YڔQϮo`|:q-2nvRW4fwxb`nGN: nW)tRG䟒J@`@JI#2ئZE/1G2UG߈}lGs]0mn&%cSqdfek70>r q,3 b)$uF8E`U?=EMn)!~ڸ7SF%z;tuԥ,=b s~# zD"g$KvpF DdORћwgB.OG}$utyқw;*r0IF*70>YiZ(#r&ﲖ6#`I #NG(vgf^33z3~#Ԗ ߙ5?{eM @%hx 6]bm>o`|>cw]&oG!^,Z M?22?xɪ$ #ږ?y%,M&ɻŞFL߈u< 6Ij|v*/=Jk:ss͌486U˞<+V̱|\8{Uo`|:4j$!S3C&f ݭ-E~ܯZ5mI1K*ZdV乄ݩefFï?1%vgl.jr?%/C1VYG~߈u6 #Lٝey~/ MK'c&OG1d/o`|:w;!l*UAU, !*aqlq |rIݙvZB:D"cIJz֧'L-Xxl'(JJ)dvmT݌ xS_c , M 2&:Ӫ~#ݾ1szQ Jc|bZuan`ڳ;b]TVl2,_{.]!wBx {.]!wBx {.]!wBx /Ku}nNגn̸ZV7;/G\S]7~tZ?6\uo-Goo@ZozG㣮:[.+osCPY{' " Pe*@ E&ٷAMt:[wQNƌy3#MgQLƦCW֋f3ag>bc숷t%@SJ)8ZsVr+,ba&RO=0EPT8C' _ImFɲkI:xʡj6[zjĥإAuC__y0rri!](RȏVm ElD]`}P]`G%~ӾGmu9?;?E٢h,'2GH 9Nc))(I~˩/q?:B6,KJ:I%|g*-)hJb)?LcE+f3brعFl\6.Q(͋f3brعFl\6.Q(͋f3brعFl\6.Qfd% ) c- w79e;0}kpR8xC-&#/Fq5% 1qE53~SZEM4AjQj \8PForw`DE6e[(u@PEEpt 4iP]qNphk79e;m"·CF\0ExzTXȷYy*=^,0Pq8Z'ZܭƠnփ@' (kX'X6I) .0@Y : L\kDhۨeiNsMD۠-gFP'E9I) *61 ⃁=I[3aV(Q;8T⋯*ՍZ9I)A!TyKue4it.iM=Iګ؁G@Xf',pQzM%VXe=c}Z7cqX]j1B૥EAA%@M ̮XMqVӛCk)& XZsK[ QZWEdwּ !H(ih79e;r %o(4DI)nY,2aJqqYNt7UjJ c VVM%bs',pR1 兲ϙrxnʹP\V'ZhP V uoڣ0Yu'yntXhNYN-0U .GwPsmɸbV5&фӉm^\ V[qKX%Forw0ְ@Ε> iWe- / Z͓!yo1*^֛79e;ع¡npC` fco q X,SS[uI)'Xl S yuNڠFNl4!Z+y=kDv'>`t{9I)Bs`co׊=V:So2EP,\>E|2Zw# orw'q#R4,sw%6:yT΅țyң-5ġ1TisHc79e;hh҄F} 9}%( M&V(Uk9I) tWzݵ8r%GjkNa1,0ap *QEL Cw =ߤ 0TT&0עD@¡xA4Z|NPh/:rXuƌߤ "qL[N:0Qq_M/M ia 4f',pS˷Fhҙ aY B6BBM%Zp= Czyjr}T@79e;c1a(hh/-ȬvK.-piqzGÅuvj@79e;\# :kj\PkM#Q]/66t#Ѓ{MW :ڴy9I)G Ŏ DW *%J/&cPZ&oIr[:ܼɎS79e;SMgҿ%7Ug޹/ Q)Gxq0(ߚl>kuP_6kvr(8m͕ `^o6ɇ i(*݋*c8!.`hE9I)>kX"SL.(rPa/>d|f0s/C=_'N~ nh׼(b82`)hoy ?WJ",/6@QaUxhNYNࡒG_CSX\`:%2Bu\3D jR1f2\pwB-mo(CP&WZ)3.徻@J{495ƌߤ $V\}_AQ0r{q#[0l+ܛ$~4 mCnc~orw{HcmUVDE>VU'Rփ`X) zc] ~Huoš I)y&=FX1V=1ƸAG*qRЯM 4Ku {r4;^ J57T?ForwNor_ժ0Xk!Km0緤@fvgIK1fĺ+hq$(`8nL-ھ[Af# #PܞZHݏ-S#sJ9?]~RqtX=KfOCU3`i!|s_pfiJmݟ! loBShQ+Wtߗb_̜~D6g͍KA5-z!_h^-xŸxhmhFHzuVϊº iUܴ5{g~_Lֻ+n!r5-TA@Os AY~㮴l}п9DZ&_Co)>guؚ.mgWCs!q0hhtn-kh\bZiǜrm{/n9] v6jxg Ez H  P GGZ!2·RϲSf^NUmz|x:keM bZq,9_U8¯[F2Fh4Ғi랇s["VYv5Yc5584&P܋'(5xĸpoDԲyև/t41̦o~D+l*Mf `0R (1AXbWac84lrwؚn_q:""W{0t-s+<2_|d=aWS94?)4K O^OԶ QSå5%%:tѺyVW8vkEƫU'eB3lm8V bg :.* k3{/Gi|k@@r]|sNd^y@%:baM=D;ec]F#N,)ø~&V,5^U<+RZ;Gqil9]$=1c>HV& c#nY^}<Rg<4|o\^ FNI&`AI~(hKb/8ttSi7Q|,[z'OFZ}>9ӦrsU)ܵīiy!}maa\ ?f?Xl ]$z3q  u֖r#xg9A%;H\=d/$eyQkq[ ;8Zluoc[&/NQ돣#RNjb؅>~$'O㮔Ԕ@)thv[0R_}>3P}WiN.ÔV 4˹Rȅ{B.}y 20y͵iB wQCqjU1[JL=!U&A%EV_h)"tAԹ"hWCީ~JL'txfMc[T=X <cZhcqh,_`x;Oa2O(/YZ/s VSDg $=#qNsYC mO9j{x>&<9SLr"" ߁ 叟KajYJw<sjd# 3X.şqCQ=gqH3ҍF^Mio>a UOike蛮9#ZzUGп]pJOD. @Lk֏4רhO ؔ*(.6p̏ =~zxt)}erwm~\Ȁz6g,*q5PS(˸枕~說b$wg&^9]7 o M}&*MrAF&4(Jӽz6ZH_86o4~+}A1U%D $k[4h[s^:}T ENxt(n #:Ur˜O4>06ٱzB=OT+`ΰ …n_)J}`êwT/Qm5o1:HaZ?t k(>K}ֆ{[DW^FӜ Tu~fGTt}ur&sI{D6aAo瘲jLݽZƮTA)F)B^֙G!=9u!pr9?O'r9?O'r9?O',TП?!9gJ%tK,bZt_KzЎK}ix:NJl/4}:}kЕ_4:+諡飣X5}I]/.TJRnU= o#WDAA?!UGi҆;G)fvnd#uF+fLE! ֲ; ƑN[D4&n&XiWl6 5}6T#2ߣw&t^5o˧luHL?H#e:k+K&_^S=VV#H57 bbMxJe zTޢpt'k^lZEo,h.Pf'w4@(\T*qSiS̉Ѭuo1{M4n>&'EGV赪GDG;d|?К A$I$IA $I$ I$@A@$IHH A I $ I A$$AI H  I$$ @$I  I  @ IAI$IA$$HH I$ $I$$ H@$A I$H H$ HH $ IA A I $ $I$I$ I@"~.x$C1MI I  &&]%hyF{eK:$ 8l?Kz^?s?s?s?s?s?ƥE/Rx/TWDtjt7!im[:9ܽrFe2M3U}EYZӃ{u?]t7^ĵ!6}Ly ]p%XAK Xӭ#}H6N2. ԗݭ sǹb34 D^u0_1Wa:h3o {Y-VUN>&9͟1cc AҐ_2Kusǹze»8tCF IH!y)) (-_ #Q!H& GYtwY]_0<0DХ vhmzF[)' o-tIprf#qu5:K9؊IFk!x/EڶI@4P\0 Nxf}1ZH Jz>@?=[Jɶ.K !eG m\Վ&sR40ԼX;_R4մ&ϧr[{k"Twez!uFK4z_OO9*Ar ,S]yf!6髱> -T{L]]ZrށR~4uo6rξ!x,ZWqt'>kB.t|ne*$<*{*zb S: cO+>M!ye|g+&X5 T X<ȝ_GcGux9ܽ2h MRℒj}Q]y5ɳ,&mm_Gs=мe Ũ.W-}?e-* »w 4W@J5t菹]HM9PhCJFB&hP^ e|C^ Zi}F<3fcUX; dEɌ.tzd%&:ʨS%W SQBN1-!ƅGxX\=[Q㯈s=RNipXeJ 0BVN(ZcAmv,1O]weʥi=1=+L!BĖ Gb1Se rW7pQxɸİ軭[=9ܽBjkL,U8|/X&YǤyTC<&fB^fB[``IQJ́zJ-\ 8S\rcXg~ŀm΅gj*izx9ܽJ/tqwm.4[*1Z\R'!yeEGI] ,F*;P\hȩ+\JjE@6*a;(QF&pzheD0ϑr۠Zf[+ 5@]9F½,AãeJtoih\]m-G`;b%Ǭ0UTʹXPDdN2bOc;E!cm{:B,.Gp V% RO<{Xf7GiXa˿`#++(̪7PLO3n~yZ+ EKtϤR7C&lfWZQ;KW3K F?  (h1*M5$e`M75 K>CnVFr3{(M=E Pt2=(adRʨ(ڔ)j /9*eXMW0e]09n`Mba` WҌAx D=Uc_q6ӐJ`XR Ф;ԃ󙀌4JW6Hod|}!x/S4J\i8dfGk1(6&+V jz.oRU.^|/UEdwNH 89KZU~ѭՄ/W5ͤ;YֺHFË6 %4oY7z>oKG4-hE^><{ Z͕8oEX+/ݙY5 :A) 8LgQS\`Χ1ݪPK2ϣV/@R3hT8RQyr@& ~`=aHؽW-/mXr 4] j1O8\*ՄZPכ:f U{[ +k!x/D,hXo;Ё4[&)HC 7AƴNm:GڌgpPW 2* ~"Cw-*H춭w΋kٓCJYVF=P!x/\ !k4 * ܤ^*fiϕ!\ BqtX; ;F{@.(Re4e[Z*k4!x/[Z@D5^hߜϲJ+c`w06r孎Xm~ؚO Jz78~1;~!֔yk"# g~՜ /VsQf*0[K$O<{W eMICɧٚe9F G]4~",ވ|!,j>A -sǹsǹz], # ;3x 4vGi + t@WmnkSTWE],PPh78b>4ΔPXAw(kP^ԧܱϣ1bǸ(Ws=wAtw\ʢXy Z1ߛ긥M-HVpLiy{ 5-^kn15%2rd:tiy%}kc$C0"EzF\i-H m?|9#f!j,82]ԡY'0uJ2awЎI#tX)flցot-FUr2M0dǠv\rV٧z2,F|#h#D4 %vEHHZdgdlB aZ{t*WгWfC^{S@>$ͥŀ215>ۇ>Ӆä vqVfb]:+6Iw4q rU[WK,O$ f êgL/i+?upn6s^`˱(v /i4P*Tu]zڛӒ uM?:xw0}b$cwPW{׉*]ӳݟ. M\WMB k7=;)Bt[r=|@8w^#`4LS;>xQ G_zݎT5>s.ocϷEߏo!l!EcL&zuy5\s4XЎm j?IW#?3ƽ .7~;td7|m/ߡ=n0$4KA>>CmWr]ϓ0,mbA 78a8aǜ͵99v&Ȅ`2j,e;_rkЌ֚%*(OWMޙ}Ɋer>JDBӯyE[ @=90}Į`! 9[`bS{txڍSKA~3fD:,A5! 2 RMt! cP Щ?t l6ofwuK}߼y }`9XwSd)!|P]yDBƬeJCMv$Yq! : pE׬7%1xa#ky6\l5ĈО@x4͢~o1Sd ^!_V,EhAg Z uIZqe(Z UI|c+6peB•EvŌx8fV)C+ K)w~Mē;n;N].MΊuj8t9M`luxyQ_9#u]{hَO%0+P;w^[\V1:cph}Q QM{۵߻9M̘eX/ǀkLGAj6|hb'Ly#LVQ4<)_5F>tru20ny؊4`R0-fn 2)Ga wc4-vl|csΫ_c|C۶&l;^OnObyUoP'-7<$MѮP pWSZxާ 2( (2 2akQe3zŽts p D9 <( Sa8}ϯt,O4RT;r2q ~LGY[=&O MfxLnRs=&1`c/j8_{1.O} ־bcI:>_e1 2,22<}2&eD@eQ@DQeBBIENDB`nObb@~mpNѢ|{PNG  IHDR_x pHYsaa?itIME )*.DtEXtCommentCreated with The GIMPd%nIDATxn$߲**MJ39@m^;(=rW KZ+L dF0_+nu [wQG76`GBdñ8r8F:y~Dlɣ7^m:>Gw;ǒ8zm,M\Fc QT>=]@vv2ׂ<U#{ǖsvLsXGB1vd}>D%2wX"ǛwXB@\#,dN'hPvYA.ӗ W~=G~Thpn ަd^Y]'g \e>rl'7@yȂleT4 A&`f: x+`KE ZɜͰ9M@lR*Ok|} LjcE`<Gݯ094}-={S-];B!򽱽opm1uw F铵&#߭C7i6`鋱*6kn8=̳c4Ð#T B'#T{s4 X LCn^3z!4B)}B&ANLkIwRy7p:L@wQADft2.62.62A62AD?/kǸaɤI=:d B&!ߓ9c{}yzPd}T,nlPpB&mLnna20A20!õ y d. d"; B&&B&OL[L  drd^3h@D@M dcE jM@: d"`'㱋 @B&@!sJj%!Tm|Lnq,2'`٧Y[M!o̵-- A }o=vٜsyϲ,ҝtyX(ۡ( ^\{ؾn\+^kG.0 XYGjX d'}8櫻{- +L2 T Kh{1 =  ~-8rosJq d5#W[?U\lnJh )e2y3,B5PLL^ 2i6YL}!! \v!spn" B&O]I" hI><!!d@n!!2  dB&w{BLp dbz>+pM" [ͅ*^x?&݇2® dCp[An& d@C\rg>1˜LM!SvL.[@@M>t2pZ,샐 hCkL @`!dd(Mb3>^M#a'͝8%L(1/C dRnZGicz=̷ dЭqx`! .&U'}7?R}>G yIv^^4;uc=HuN]'x1,l./\3@J;2OG;Rى+w+u4 BWp=8_ (&b苴=^slwE3$d01lTZl];/,YD0fЗ;!`!1<C =0ⷂrr-\.Vog_&zAhz_zm5^K5y k¦kN&d}QΫd)+LTe!`"`0rFh D} LB`I1L10j?k~-!\{=UN&Q|N&)h|]菝L % \& QB&?fM >ꭲvݲ <:ؖ+gZ)j|@zI8櫻{- +L T ,谬Kk]0s"0ߕ j}^@[?_^d=vC'<B&$s-rej=gZ! ha"Ĝ44'!29ÿ́wx/&u X @LZg2VA22n&g`2L̡̈́BpMM pP9P7` d45P@ !,Bp-o5>@DЄj!PzxÐ& d"h )&W 45P kL!!̥@[nlc \B&& \W d؃ `B&&0FZ1.K; ;:0+`ADM@s:Z6YPk!4JY\B&U‚& ,sr2IRPLT ` dR-h$՝nշ 6VnK$ SQ|>'8Z!OIÉ"\5p*l ,= 83y/\B&4 c.LRNF@ȄfaSy>Xź[BcL6&X dBAH"z!„ibJ}x p& ^L88jp%XRń=EkԵ.dBwSxA@ȄBZ>[@L2x59B(4*íp3x )#͙R2 F dKuY d d \e֭B&3f26 b LLSA. p2hK1f.]L!rЄ d d d Y㣏~>tq8!z~];g39Yˮ.j;_@m1Ղcqc }D@q =fTV2_,s 0onV: BPXWg|8@h dnV{TxM5墇!X2d] ;ҭզW]hV*Z {?7ٲ>jڲ=L!:8)#;6B&P˧4~k/|s t4{ZhËorN[B&%@@@!!!!/^Kb>|fK]!`*v/\B@gJuY|xO&ArP \dQjBB;J`b'*e6}06;PIiת.#ԿeT`l_]jh.XIENDB``! pTR~&DP҅甦B@Rxcdd``^ @bD"L% ,n&NFF! KA?Hz517T obIFHeA* 0d C@penR~> o2<`d(dx`v.P56r`4Yð j %`S!v0 J% ;^A#a# 4`!B&[|  xڝTkA%MhAEAlG{UHĭ4[z( '\Dx? )m<(ΛL!lfޛ'Lǐ)b+)' <0T֔dVM0V:;3D+AZ׆!'Gi5|r}ڬ~5X*5>F &H5쎰5N/H[X_`פEt|y*7u>GI|xu՟;aZ^n`v(=B,8_1޺p{]|?xyxdx7WuoVEtj^2昡halqy8oZQɯ%JG`XHG(~+4Յ1iwYp-&[u;06EEŇ`c鑟Q[Ve4ڗU݃G8H0?t<ퟌb<9= Rl{I݂c^+Ghug}\z9v42Pj'!`!YBAd3J@2B`(+TxڝTkA~f76ljZ ^@O"mL K) <{wORTK^ " , ]gNwK}{o|ߛaG9 -fe)0 uqda2֪w@X2EP.Wධy*JtN.Vsӭu-ߢc,'K  | M߄jGr;.O[ <ˏWh@^.i>L,9e\:X=T-Swd&Q0#s7D^dbɐ/@:lSuF}ɿT_'tp6~:|%|/qLO?o֕g~s]Ú⹠iu]y}KCY`j9I=q;t?'?E_ʣ>?Mu&~ >-ZW8wܛ{Bm ߙs{ܛ*$D} D#>5)i*J`Qh F(8U‘M]- 'CɓF>oaBN9O^&؊V;=>F+?A>ͨhŒ8f ~3#,88 9CtyU4GSE9G#z<[9Nf2lNZYW4ΙK4_*}dy%k9P~otv!m>jsr׬Tk֌"5p=dQvB[[t\ԯų rn]\T"nzN ;nA"JrtG?ϼȰ/ޏij[֛Aw=WrCc=SfC>uϦi#1KZJa]9zfq&iG-8\)j' [rʼn|kŹZe''^=3\`!X~@pϑ+“*[  7 xڍAKA3B)"b EXd!MCr"WEtÃst!C ^nGjdN}l8U፶?"f- }b =% )&XvIhtO'8byeW(q>yJ [L9%51q?qK0O|fsuT)y7>/&Qgx_cܔOŚg %q)o>C/(1ݦ]+ ]+'3,YWo\HFZ9u۴?w(y]nsR?j`@PNG  IHDRȍ pHYsaa?itIME ,,4PLTEٟIDATxOhUh{b IAP4Ox"%JB)v"C%AݬBHldiIvvHf63M6M;K$ s/|̛Zx)C5R V|c!H_$Ṛd/Bmi*1Pb>hw 4P<{7B _ µePxSQ1%N"ZlD\cwb9LcXw E$6ZVX R܉փaD@",ج",HtE0K+z`hr:F;̖2ꠎ1A]k8&F"-,DR8{1@^QDche=bQ=nrqzSZ1I/F!AϿ_;McsM.m~I.~C.#M(=Xl2F\XdqnY\xŇլfhE5+E+R/S]1&kG,n@r b'grQ0B9c4^\g3gXܰuש8b3Rq I,Nr{#S1v>:k}x]R,c|)qƊw޳%NcS\<=x=·HԵCC,Xt18Zl-.Rx̬!gbXdQWgEYdELt!Hъڈk$iEzM8FGs]&3iBXz8/Ҋqߴc΀1vXEb1l%`ŵ?"YCz' Y)R1">5 ftV\81JE,Y\h4,"H$ x7hТR|Yp;#GHrXqAbr-JEz2?#$^ԓܓa ~1#ˬ?hhX"Yhdܢ@K+mpZszn?spC/.re{lB )&,r q຀a%ap5`^.UpcLA 9 ^7@7={}aC,D0TVڱ0 ARscPr^6g{!X-3*7) Y̽_`9vBr՗W&5 @gzU. , 7ǠA^\˹P7˵-^m|;g<  kC=.:k+u\o>mu3`Xl|_]SG!01cE70 C{rs ow~~ѫ;⓹s]\Ha䷁Fzc6T :0IENDB`n?28k$1> PNG  IHDR# pHYsaa?itIME . QPLTE 888000$$$UUUYYYMMMAAAqqqeee}Fz>IDATx c҆TDŁmz3ɒ1 מ G=+xlc{lFc{0ؾ\T/lj̃-) ̐?Yg]?ck2!HxxZsެu]IMNئeeuN/#W|?Dp~3Z*5g7b|w=߈zolVlǬ.z ?ҩs*e5?YUj7Q.xl<痬_ \_x Dk,Z#X`I#SU =8o?o~Λ:l˛@xOxS Ѳ =HF`gC$F1y*M Ur=&+!2ȑV`;gJY /މ{OZE_lmQ;w_@ce2%7ȽcQFzJw@ B͍1A^}ҳV^!1buyeH6ݠh֊A*iQmi=VĀO{f$A2do-Q1 oDd ?$oBîO, '=avG7$ L&jYƠo*FdJZt;D5ʈʟ''Q3ar/+ 31qS.2yv?v%#+1u FSRW%(Y"D bİZ,Rⁱ.9݉K &jӉ$I;Ieysጀa-`ɒYjRVq ki9%mUK,tE -MUKĊe)"\p\Ns"qcjLrcE⒊R:qF⤟N޾ut[%>)\uX`;\Q <|]8򥜟oAN&Q;\JSRQf\mkg ԴZlMɯN%rEjZ FH J>(B'#$9XRGwpsY29W?&ܒ;ŤGa2ɍ)DHusC뼏 %a\@Urϧ@Cdq)m$IEsFޫbdZcoɔ!J#R_fi}bLDxhV:μk⦢<&&q&J* KJ*FL\X&E!0IR. ߊr @IE1;K6va Fb8F*P{k_#,Yc)0b jyBC7 +{e% >+:襃Wb!bHUc>RN/Uř$? S2IH?ݵ *#!6ACor3xhvbY s!RkĈC&G կ/t08%oV7%sI`$bΉֺJVpK;fgg<Ę0 yVx5_Ka#tߜ^>+kJAYعBHagUb$!yIAP&13'&_?o( ̩ME$E1'|2Aqx))ig"}ݙe2,E9*(Dd!(ITCͺy;J]r`{VVMtS2\V" vFk!#㵈Bf-{vՙ9 #sr}̂vt=VJJ~n H],Y3"c3OP+%5+9>p>潆mX3,DQp̚{3FkaC:%? I$k09Q!d܃- IGp+ M*ye׭M޵+^JFrb 斌''}=Ĉ ~%B2IH1zR#xS8Ӎa%IR43 !u_Q!TļwYe_hRX)z@n5#I522C߿.@2HI(Q"șxŃ90|H֓˳"HH7.F5nKJBpv}k+ =2z]W.`n;ɔ3*! !q"_Zx~\O"<.3zړHXtޑK/J9Ŷs^uq#=[xJJ?\fGgcK#*Z5r<2"gyHX^xPr #"I\y!#sL*F U(g T""".h"c4[h /Ba0.rQb%8kZPViZ{IzD1F[Q%D!w㇠Du%qZň&9l-ϕYLD3TiEwM|vTyR,XnÈn7M1RhRG8%?BzDYdtn 3y8,[Լ㖸4HCL aIzg?-!-i j:0bGa>fI WJ1ٽW))ky#ɳicur.+ynaQ`tKrHhc[#բ|g$K;VTuJ%+w{Qze᤯-DiS}cX@% (Rbɝws:&I*9,)il*nU"5DɖZ뫠͢BF mK_{bJbUjLF D4YʰI#9'%#֠OI$t/$\K)a򘞐gUWd#R(-2QRGZN?B IW3_adGwGzS%Z[N6H"%Q""~R7ADڏ ܼ|7BAޱB/\M3HRG,k(~a%[{vP:}cF+IV$NV%Q*'BrP Ɉ0;n `aikhf2tɖe8:UPf$($֎Ƶ~7FN|Lu9HO+Ɉ1#CPW1" ! `A #ո|J*R;)dBZJӯad*}y0ifLS#Ns<@,6iĭR`#ՌLBJBjH?…]qFV)gAT^m̦mQ'jyF~2iDPp}_'3bnmF3Rdj@RP"uKBqMDѶҥgn Έ+[h;2c6- GQ+ںVV#$KOپ~/C&Ӄ|D᫅#:3sc4 а>!>TF⾤{0ј6ϻ BNȔ $!iSBxJ{;D~5dӊ֩,W7BhaEy1mS$021#&#LLfHH}J%&Q:o5Z\eMU. d/v2@ܦӁ A$N\^:a4?!FW"%BS֑|YCdj!RΈX,,0:3q21L,n1k7~3FDA2:%Z ~ #RIw2T!p2 @\ޖtܞˈX 'Z+4tYɫ(ls"Z DD_*M'C ) xJbS;_#Qۡy~3F!TFU($^J+vG#(pt& 꼝wH\j-;-KZڈk:mJ"$Dk@"B<9 U v"ZQ0ڜRǽbUD/BeTSI^U>ٚc='8H8%I& fdEDffT Z !G*R#(bmA ٣2_-_E/$JR!bjWemq~е"  | Ot" lXwb]#_=ma4+qh:L!,PDntx=b(n6R#VLbD_9#0GN e{^WD@("•0]nb8!ʩ A+8$ۑʳK*\EN"5Kħ5d_D>VLCMfArlCB#9ITWы躺YfqQKqp֕J^<(p ^Fb"j'3]+Z7cQ]rd^*FD(vmmkq`brUlId֥!'FXmtcychnkU Q8ȸ"KaXq[3ђKWk\;جDfp`0+aCCCDm-%N 6l`ۮ0#X%CB${B+Ì ʈEQA}+e*$|,e VL!*`-[!AK?%ZZ##5*H $ɠ\x7KBȫwtL ,$ &,@tZfrP)ab5~?q+{1RQIā"FMȱd݄[o}*X>X*S_9BXfJFʈ[2lʼ旟9Z֕I?L5G'd/}fȎ:"GZC#4D5IYG1HQ5EM$lX'չZ$h}Zm15:^7?A'xSȬH؛B BG8#hE7DcIS=vҵ"Sg_ ܔad֑VcXasP$l#AgRﵒ{dF/~GZUC2&95Sx$턝7_I<yy,Nd̔8"2#r'0R/|࿸ d;/DSbR ..J b&9bJZ^JZ `+յ]Ռ8iad";=ė%MZ?EƭnPw$f!]0ȎK5|W#w !n$F{)2$K@ w6^x;=OѣuSFL\eC- (lO_5D@$^#r.[:քoɈ^Ժˁ( xgc+DZOCsabͳuFRKUtARM'!O &h_[`{Kv9p.J60rȌSF"`g] 0#6{YډN!HLdR42K4e9^(2&&FV56gd`X䂆mMVx(U 1u]ȫ ) 8Cq?8#832fΐ&<W q!P9RJ1BS555FT?_G>碌"_O)PqUm^l8TYso+|( *= 8bOR/J\E$DR#OUfƲ7Wгhk/%z}X*sLǸXiq,S62A\pIfX%ϋeDҧ9Ɛg_@%cAbIP$WART~g[x% FSU_t0H2`Z055T2Nke;=0Zp}-"gO35Cvl6$0"|s\_,! j^jDFPip…Rk*#wdb!6 ٯdt+S2[ .A@R]$f:VtQD+(߉} "O H,I^d|U-E-@R\^]\%M[P `:FV(L&ˉ7]볔GHτ[7`SI񴹬]9Қ&kywHbELK{;ҍ[FVA]D|g{EHCn$7[AVk6:5$JȅߩS9ejPRt.VneA7gD##W!Bb(vbxُD䓤Ph HȼH/yp*Ri$$D'l̈k3rx}D 7ZrCH%>5o6~He0hi`QiyC\tUJ9+%12 6F$#q> _}8fHv2$ 2BJC 2z5T -FJItT%Ϡ$ד}@%z/aJ!4Nݥ"$u{k qL>!_ l.ņ Eʧ+RmfƇfd #D:k}὇y:vamuBV$c3JcK%=H1KF }+Rd>BGOLgp<8[GF6"D 0ߧHmM`$ ύ|XVg˫# H:׺ZLj<> .EKbO}^zm0J;;*ӿb̍DHg22n-"d\ )Q$.0JT1TsďxxYplÈ# DArVS|jH᪐gM02E׮gBxk`R)s<`޾s.~SH#TݲIZM܀ F_H?,c'$X-IOעb>Y|#"8܍#?,lrS܈%"RJSQfSj(q" iVä p!vN\dF'1@$XZҍC!u] 2";`J14d4=%Y4b mOLX[r1" FzaEUDt`sm뵷ڍɪ^].[e 5̫jĺQne4`a6 EY%9APbj5}8ړ|Dz!m -RIJRdW@B>D.tYQ-.Ա]F$;o`C{Rcք F#ItDfg#"ƍ~HR dd7?s20x2$$[0 ]Wa&&8%RظU0EFH욈d- [/{Kk2Mra 90.FQ,"2,ΓYFX270# 5f>LEg}SFܶT-"RZT%uHy]O[\H~VkL3+j5iAe!/-\SBAmG2u/2rYޯ[q߀i|vUDx K$/ UH4f,(ިH|i ۢx[k87jl5Ty%"/ZdWߞb;JH8OXdF sLst}]Jm`dr?!/dܚ-D}6R+y޵y~ZF$CB%쇤R[pGHe䰖Cj9In}b~!^Bk#V?#wb$ٜm-"CDJ* y)4IKŇ:ϩU7$4bmua:Д[S#ҠFΈgdj2"ٜ5DvUDb:6sVbdJ1`$>/>_C*y_ֺ-_)IO+3uq}`"kl" U D[TGvϋ5_g^4 ILi(aDz> _t1+~[F!="ХEv[?$ϲ&9pdy!2*OczDzij},'}EB# ߖ&mAfM:ncF.H2%le0 [o3T@AFs7Q3r7Ԃd7IvVZ1#BmAr!eB86Kg#bf*XҝMg*3 )N\ahk(#em-D0"DOQHp^'$/3pFWj$)f+ c-JHOs? `0T cZ%T5yXҸAF# L\Qr=*aZ_Gx/>j0¬EjHjj`Ī#y##vXDJ7\\*/ wC5Ɋ^`$>jdR"#A$o[p;]k+L>]zz[fdڊáX#"'YdY^J;,BqZ  r2YM"*#E* (ŕӑ|eJ*ͷnhFфT ҟkpTHuvTW%ͭ׊Fv$HZcw6v0cˌHhgDBrՠDQ.Ur$fƃ4JfĈ͆Dj년U6*|:y"&FfRo_#2KEF";ˆ$ȫ Q.vKId-\d*TUWhZ-Fe.X8`k+)1:%Q6ogFZ% EP$a/GDp%Ŋ&5\ke׽jj;-|c<4*y^|]C( ܓz?]N<$^|%1}k.aiRkWo|l^@asVRTK7ނapU.GKRVٜFYrքrzYsڵһ3Fԃڻ~T[@QkB9|eE]hR8˪jm(鏴h{GS0x9x|FZWxze1U_y`QF=I~_e<~o`=n1}Z?vτ>MZ/oQw7ԷvԿ /;PԷa1oPM}(ʪdJRV77*ehtVrX&7}anMkR xUԷbG=@}7R'\%|*kQ(y႑)W즣o 53QО)kM趞 /5 ycH F@pF> /)a g~zs?w 3i-u">Қ#NWHPԹ!W];S OI_~dɏ*˔ 2RYUU峔^P|M[7sA M?(~ pM'8z mw0| 4M,zC(?D}?菁ej'~17LPo7k,%2tIBvi"H{,JvPMt`þ5C_Ozb?/-K!(O'3V6$mL>5 O3L}[?[sa?5cSC?9?Ӿ`.@ӫ@އ&zoEp:h:r i"}kgځ????=! [T ~ Ŀ1x'/џgZhA?}[~S?zl6oguz])`eId[ϧV>Z.8!0o~F~v~<(d4$2!G"Wn/MQ?[؏d ?- v~ pY̺z]B*u];<pO>n\:EknQԏ} #@XW!Z/ ƗeH8WF}ľKV|MPq?zx䮖M)T+P_UY|RgKK;g~7cIԿ %v9 }SSaě=V9Qf!ˌO)kg4:M>w30 !@^;o-pZNw:7(mC*$x$U)D3imp6K5SB~:[!>0TOcStCy\ĹT]은Ч%W+mL4̷D/ZP~#cN{7QJ2-]@12tJ)8r?L}'?Z}7f oW8~L$ήqS!"qPhe )}B^ HyagD?Ycط~'Z%pcNG"5chV>U$ ]o2xd͍}OƸ6Nן }LiwNgMyTC,CfL@P \,=q ŗ6k5qc?JUOa7C+c^垰NIf 'yaەef{Bw|-pN }{ԣ%a_>X"3 C+=v0;|c? 7@]+ץ)($A^*]"M-Gc S_]Mg e5RmVnaSL؟9~G˫Un9.Dc Dk(HoF0S@#؟)әߏQQ%UkR8^`fm!GXeOۚVi cgOm꯮cé6OU N,9'ƹ@ַ8SAF wƾL}~|X )>UɴfVi>?k|χN?_%Dk˭Wyh5+t A^`3%#`h8OJ}/ xE3o? Q3 ^wR?8}b> tƪ&rCN,W "SPAϨSV菌ӚCFk4CKJ^ 9$m cmkgo-ǀӁ~^St ~JwZ Y-rDs@%T-6+nSzN:zb?̟a?n31Իr]lf9H~,b Y⫇,{PS5O$pFSJqyI9C?nr+|Q:C!g>ϒʫ{$L%{3_G1{p K$yf31o5=R%p&~4'[ȃA^6IƘq%0lj}ܲnc?CQ?*pƀE*b;F Hsns(+}I}jw-iB4`؏"q:HؽֲF3 %# $.8٫qdAN|4C$`[ߴ֙g+ ^!_4Blcr-^깎b=trfv~Qv^ H.kwͲxgU^w83A~/9SbT;¾{ ͏S6M7 EQx;cV2Ǔp Ѡ?}od}+SX́}c?o7y>p6,/ >eAt"{ Qߋg(b:ݖ r mf 0*a/N[_?$g1>WK=~8Xe-;.F~?Fqg~bS?zF g,f ,oPԷD?2'8؟/Fdq=NAx<R.o:-MQsJ#g|Iɨ"AhB6PA)3wufSߑ0bτS.,LrD*E].9L;+0Vp$?ӭԷꟐ/SRE D֍k@Yh{0d;9LD~ Ɇ.P): N^.SCIo껚} LϕzRh5zh'}H)2 @CƾęՅ9gG\!Xx vbS*;B'w]پn63A^ iX?VD H's:͸~؏Ѳ8Kʄ-dF'?F}o3 nԏ.z^Ҿ}Bg%g$x炼٢.Lbl_F΍.WU@cN+ F8 t("ל\ۙ~`RLH/pyllɛ^B=Y&S٭}U>3W:;79PXL/;SGa,#㳨v ǃ0wn~a$MSZAK3nC,Ӥ3_P?ç=Y,zZyȈ|UhxIQP?BrV$75 O# ʃ\9:SVWZ+'Rk7dmc8'B?^-]ϒdHKseu.L>Sy>wsZ#{qe7 i͞TAS~ SCE":CAV]6j'E*)u:S?ę?A%#1zPefI՗秧MD3眳Np+B!qyUեYikQ9?/8R_:J`+' /q{LidL}K7\U-il5E7,.f\Bd7C;IS?«PęlUOzSefZS{|G~s5|6OP OMYliI.nQ&ԏpJ'AS4!TqZHө΅4ԓEu+1 M^_| su B}y_Btƶw >B8e,>h) d@΍AB?9ۂM᪵˒< -w8bvIr?O1ΗN7yOBQOYoQ_WAG*?%0sF0N(pt/VOLg{gꛙL3)KZCٜAaz946o6q_Mo^f"[+dIP>@rG.g7~?M}[P?.'ߚ v1sӢV|\J ("o[+SS?/Kן֏J}OEKd]a IZl,b^aZb8ξ@e;prkǨ?l!qF~S?8#=o0cCش G=MRP JKw[HOSA??xpc5=gFC'6zfC^R܆fxG2ԟ%N/O P1R:MBP1x{rr^s{7@?wea꯮Rf81 6gB~/WW3@\P0+% T2'B!PQط1mqMkS<]KUu=4 #1M f!8u&Y(PܦSםc?N}K}ԟ)ǍzNS?8#G c5SO3$zL˂-3@?,GbQ ~'6 6*`P+5&4WʺbGǓԷ(m[,j.q~77$=ɳ2>?)^z; #g CGt0;ѭVU2-Oo)֛ϺYnF ^'Qˈ\.R LN]Xp7S Y-7fMq8 T .#!Se]&9=’g(ǁEݐq|:R=9@v_gʹT[{u.1aarwCg~hmgB'~߫pZnRv+,aOz'U]ׅ}e9/3";!Kxsve=azHw7?f7NFiY,V6+>/K8e*m-;H]Hwreg~*c?ѠjR_U{!uj WRmݠŠVM[tE[8 Ǐ=Hߜ33`LP1e6L o+^,T!w=ɡԯfGZU\aD<(4G/cB}p ּM68p}3~nO }9{lc 7ti*k@¾?͈"qa=.]?N9CσvQR\+;钰!'CύLx^]7ca?;<gS3?*u$I(B9Jx}q ԒȘ{&Z6ęc̷GWKWM3X?KPɗш}c#0C?##_E~67az~}d̷/RU%sC? Ȣ~[z( !!5O-bAh&.[H1~~D ~8пnƃJEygpbGFz@Y4 vg߁ј~$c{PPwr*TIk[d(N Pgbq4/j'2̓hϋ0PcВZJ a^}귵?Mxs q"ȣwc2󪐙 Yp5wSw=oono=C\ߎ qS_|Z+c4^)Iwa',< !h> _WC+R{;SB5s?7eMUqZC0ėuUh ZU]{yBj ~\og~ U3nmmȱ\!fTzޓA1OQǁ]fgx`?7G֕o#dǼĉ!%S_>orM1ƾga5"@w$pC֯v'u^Ht<R&}yqA[AgGj,@Z/#a^[ `1h&껶,éK¾%gP%ajS9o,мOХͲoq&]>aq_S?'-hYLˠS}'t96ɼ| l7GaIGvqA=W=G~V27ș_j`]iDY-A/CYE*5{пIO)ـ`u۳;f~( "T:*L>&!*}W4؏} }_QHKTOm쓳ePO.PIB݇@pԵF(( ޣ̖/} ㆾ7!^8̳V+~.RO5jbsy[nػrt]Gc]> SBHb]1?}2\H)ɯu7O/LѐzطfO8Zzg]~2c?%3B?z$MUP51wA6IM]]zE~}߿:NF|)}*A#SSɜ&m*cuIfݕe-D=9 U'n=!r{?!>:ʚl0. ՅW@!ԟ'ɼw/"MѤ<|'ݓkJDƾ=mZop6-y:zs^{->ѡJ7W1gq&2u:8iVI`I %}k}ՆУ`+*3--|ū?;0}̯V2 0sSH*% ϚԌo#ö}2?Xov?z-4wJzi\y~, QYը+O&a.6cB>a2C,ƘjcwK Z~Mq*![!UM q0zLl$KYFb8G~:cdr槂~#z=!@M@ɸ+ʒs ɒ( DN[p#| C ;ԑd˺.,6E=J~{aLtЯ~PmMs(kg7*q3@:DXd^~7| C eJ9ma~2J=Lyngo G4!PMاInY`ߺ0? ۛQ—ϒ ^s '~5|.D6N@}0MѸ+gRѦ ꋀLa\m qؿ!>2n93aӚԣ.^ͽ^r2=Πxw*ynٷ~5jGp(-xpJDM{QN8á9 φWZ($)X8M\"M y c?gBY%X''ޑo0vfcQ?59Sul~T,Gd9&OdUyr7HPp[K_dR*C^&^i@zp=Gmy|P4ƛ% 91[+fȖǵHBNW'A08h02Q]6#q {9+CT49p gjYKhYڶab ;5G( R멩gb/O;B4Mb8L+9}\8,׃~֛ԴWU|C}ޕut9Q6"Y.9:E[眍 _>V>Mh=;釽<#CyAJOmpN=\]1]o?6r{^Ή1Cߟ`a#; }/]q_*$ʲ!GPM"TJ;ms*w0У@vC٤P\sSP] 2{dG]m)qz{ɩn1uˍBoPIf\6כ c6E@Cu|{LrSWW(_n>9gCwz%B^ל}stFD,vqxƲ0c87~,b|)Gd'HXnmɒ!RC|^p ?"g4lPBQcA L?G>O9\okA[!xnj* 2}ЯO>_==p Xf;r/xcNn[b?G# ;=X4-V*V@z] NTӃvEE_XC`[\Ikap 9gY6.{!8C(ZF 8| [FZ&&ir!iIs8 󈾗->}yqoq$ p?m.sD˜n͊QhLYaa`?B?f p\r4Ez!:-SuU "9/k\Is BS^=>Eüԏh J}Ǡ u>c_?V{&`Jք‹L4c chڧw̿ڎ9 զbsqcS`~546wf ?uB[A\L:1{ QD ]i7ǁlEtҔ L}jCY>zQopFE(s XG|!837ȻvȺ4eAi]0ꚻHeNlVQUZ%Bڽ),1$=}?򯯇1&*b͈NL#R=Ǩij-Y]/(φRޟOh̷~(E?UM/qEb cm8nI-:&e~?c-EU 3V([??J3KVt~Ƨ~? `]ӝ6mmɟlHJƳOҰ.`,P4ix۟ԷUΗ}'omKJ Gs8%Mĩwb`mᑯ1Xl[`D&] Wy ì$Ρ"%zS~ye*ͺjO&\0_{}4Ad;=ْTϖ2_;Lڌ9ӏbEmL75;VwUxSUUⴣlȷa=='on7|ƕuCaahb9/Yt/BIre꒾%#O-Ӊбw9r>8yӋΕ_zkG7"?6gs?ġ} WkgdXXB^d gP'1o7+vjei'zxx^ ws+'sؖx>X{`foϿ'~t̷߳_5#%6uzC|z'y٬18QG2-;eC ce z ڢnJDi{fbENuHx[2X|ѩ/;8o=oKjvwkגObK3hf1*P]j;yMrYčF5dd=|vIS`o&׆Q#Fs "ΧW\~`_P?+=V9yx뷛<7wBס>!X,æQXP2D68Z ʈ}SBiwse w3MuHJ!yd8S#U}n1~N7c3>N`q |K&@ uAl|?c}N@}(Kt\w-Χ݃}OF~&"KR;!Ηz = &}Gg^LV͹~/~*a`^'Cy'iۯCzWW$ ]YU%iJ+h+]!һw$˗̣dJseFxG,ʙxe{~iS! 0Ppi]!pO."L}ੵi޵Jc!b&h^8UT죣 e:R!%xAr(OɹWČ QYX?rKf "̚Z=66A_:!$SO@ &G'=|9:þm2OdIԘeU-sb|[\/6JIQ/~8HJu1LڡrYK 19Ոada'G 9s}C>`UĂARuS$r@`W7sn}a<Br:u3q1W7W'Z&\Uu~|lpdə_,lGrz]脰,NDM]xŃ}4_;?? a>VJC7|6< ضg׵i,t>_=< 1p_N(+ƫWup[o asL(N>.x*ה"łA㊌}le:P Fs;"Fbj2No6.ROp ,+qaWUM3Q#a?zdW:/WG%w9@=1%FKNMD/\q}RDckN2 و aC] v1DO n ˜5?8!q\w -m1y,;nؗgC?7JM֨-AU P6 SEiP@U!c1t¾0h BA^mBۻ=#?1wwGУ"[U LB7N:M0ߕNWLͫǿj$.@繨}yv2#RI ECo'LL |Xũ̕t9o@9,s8 ;ž#FMaJR|j s͍(oкt͏  Hy4BL-<Sc_CJ=-"]*Z5 ǍliN鑁 ?h!hT1[U>nr DD:TV}iރ_sdb^ϲׁin]N/v0f&WEsjpJErx:;c_] pɪ{EMn*V,*0#61 g^57rWO[i&0;)ǜ dgV[lTJ7ga$Fd1[' վ|Lg<#pzŸڷ(CnS`-)䐍r`hz˨NBdxCH'ũ˻>o vUMޖu) =1[Tdba S_娤З>pۢ/ p3 <xcpdEr-M!'@iEEԓêUQA8$PVz }2_==toHZ 5EbIV۶1<&!BV%UjCW-3svŀuO:y<w7}rJC?z}6yL97@ze1=&|Yd%ڂSMZ T`-m xF>iz,}屡nA۸XT\;ER1P=&`Kcj<;Ps#yTcl'nPKpU>>RJvvO Z7*( ,_B'.26\bX3 aY ?g!ID!^%_xt0It|IoE[seب ŮvԆO(8G,wI Z G[DjE+ۆ-fHE@k> JM]SƐj2-O*EWϥJ._K u!palф />y$ɯ=\./=ߚ.庰 0XOj0B+ G.zB맧r KN e3ڊSWQ\6m@1 9v&$QѸ-VSpﰈg~w3:YCƚDq$2vUhFo|ׁ**ƿ'5&rDx(ds~5éqɐgi\nYT^*u'&20jMn P4ALǡJq/t!@sGUG@|}GS@.Q ÿ 擘.ݞl1Iwޣ+%$_cQ+gL@!Cw %B6n,PLxG)(_ſ8<56#惗c2hhqi,ҸɕuǪ8&3D}{cs~R{iGz>Aߜʬ8GFڏQۺs#%b=~K=@PU(} 2o1/U@fX)6jpZ0̽EW H4mQf«9sNP+] {\ya[?ӕiM@ktW3@!>P5#32-[3G61U7RNt`TE4KF8 ھ(`ύ<)~$IHvlj}R=8~Sljn/{szZ ,o]ax_GS{0Cد~4;0? .킓^Mz !&'z줒s\3 p^SMa!t䝦vlLA6y :'d?]zNäW7y&i{n/V\{c8n]_! [9ުIbC7ǘ<,>]­4"8l~HDɟo'd1G#( ꧇ur$pbJ:V!COL4a >*Yٳ$W`2dMWOVKbr34z+s(8K{1ǨMQōP8 #`a˛H='Ԋ؞\UC[ngkE_"/?){΂ Bb8v?9jz+LhiQmWsJD^P x&.;sqC6ΰb;O9r&__Q4 ʍFV˹qbFܯf~(HC|9}LtS}DJ&.9cA4a|srK늴9׀aR*bmBN?7JnlryAb|Pp#&䇆Psl?mz3"vJ=(^o1y.ߢV JH>[kx12XǹO\(&~ c?'yRovG) W"_ *NGi.͏[,z,# ,' x,S+pug9 YS WpI]WQnq< g5vm Jmlh X{xgVxZtWUUz=n$q/Lm#U2T~{p^/z@?86E1(Idz;*HE0ù%鮤X22IZkƤ1qg>x$łSؖ&:@"UrQ !S7iqsUķj]^<>wδ׫Gc.Ilw2YR32j>)6(ESS'X {HP%YY }+2Qb CʢX``=6:<'^+t%EKa쬍ְegYIB7 e~\ hPM3Gv۸ڊdQ#9DKNБY,@LB m}7cTԿ>fr "or*'ar|i"Q`-FRdBԛ7C)G&~m 90sF`,k~F8c;f_M=Pm~i[h9P:Wx-޾:v?w\~VcjsMZ.E?i3jn~i;ᢳIig%}ҋ/uc;_^C6>K~u._e]2lEg~ Y\Le9///?]_K KuY/._e] uYzIENDB``! S{?&\82 02(xڍh[U%G~4mҾp6n2&6Ȑ(vbm7RTCdL2?JQbEh)"Efln:0λ7s9;=#?!#s&e+REq- j*=CTV#lm%:ՠ #j^Ix>Ak3YBXq)>arh^UY-t'l)W5|,>gM16W`;?9M_ {/g'Λ>`gx'6bC\(k,ڨX듋6꓋r-JQOIؒ1ea7as}F}qŹ8眰Mvs}~ڍ\v>gmŚY=lar.#QIfbY'[2YOȈ7cV /t?!Ufe3񸬿.ٿG]>$B8Ar ?cWmQD7M)5=]}{^qf==-_@_5LuXQdU>]Hp&459l09 W= A#DOMiUȰET5l|ސ{c*YE֦H/XWE[O7(J>\95:~#}N=IYmSo0龡 $2ԍ9_J};K-FjcN{sbvb[xӏG|ID ^@<+jNϤ.LpEӮ<~{\ҁwDnx *⁷A׷?Ü˙> ^bZWgby}W_Y3>ઈƣ~)[WzP_Dz7pE+""y\рz0W4z=zJ w7Qsv`WޓUX?׊m|N.3I[CK>n Jfo ~ 6S,PNG  IHDR9R pHYsaa?itIME DdPLTEٟ IDATx_l3p $ KVR 6^ڴuUUe8*NB CXTIڗ҇P3nsT :S5Q0[8Ƿ۝UҞ0?f LɤP P P P P P P P P G]p%(!-C~T/Cp,) A *ɡ#MIH\%"r8xxɆ >%%ի} u >3!F3VjfS&gh$ @X.1!;/$H>  pB)OrJBPI@(nEث-[gijP!m`!5-jӡ@OCB UP/Z3G,,nf)%¡r}(9y;"1oPaю]H/ 0HgB-h^ fhv!HoE8PhAB8$@Ph+$B; HL$(D>50T  iC[Ax5B]L ^ ] ~ ¡Mls@Bt ̄U̡|bqҘ=HPb .R!p;A=K+>@ t \ zvh)u59&[4eHph&chB3${!@P'$R!MAP6M#P@ KP @ڜZŀp#cz cB: ^h ņ!]l -A[l6: >@䆡&-np@dVmin!R% z d1 MJ@ /"F=zm| - lq*(ڽ`Zwg6Y@UGkCTl@2glyt>%SL!'(1" (Ρ $ uIƲOH-6LHF\ )#35џDUC%PziykRAhՂNc{6 +q<1 - PC5)ъVg@qĽC8uOkA .h5A"Y= } dȀ3ɻ9 r 6hBª;I u m5nsZC8#C6 [sIAdu}so.H *ѡoXЭP*4sN}*D=A¡w19ηfL}1DpBA PՄ d}1[y!iD Y MV)ȅAw"`hnч}(, th -T2 L]+6\J?4[MA rncJ]@qrF>EGB =cAHqA ~lr@V89~ͭ Gta;F89͌oY9:)Њo>HEYĸy]  2cв bSE&5fB#e!€E*9?.r 2[k$DvP cG}Wu@L$ԾfQ>h^67\hA`#Ԃphq%ފ4f8:CFs[<JLӷAF hBpurZ풨_"0Mr(;^†AnoAw`@s &,N<*N@w@j7EyOt6} ]P:aVe.h%O0 Mߡ neBL_i('k8@8t{ڷ8%&@hw]]ǂf0\d?UU-e6"84y'A|tAמG0f?1.goAךP}JeT Ԑ-6!-߄IA CzS>ZjBQ'ƹ:OoNLQDC5%lz $$!#:0&I :$=d'XPMxaAUjq]*꜐҂qi AQ]HJIA!P f !mU7Wmm1hF/t_7^waH6loA/}G?u@D}.(ڂn¨PE>3:I;z u!˵zkhզM-țp !rbdqtfz߻9$Z؀Un(𢡊AϕZ<7x1>|VM3䎀`Flh{r.0D!$Tu&T}1vVhNkEn!<)5|1xQjuBdxCO1 cj, J&i, $چG^cxXpׇKAlC?W1rd`F9\ZatXcA kH U19c<TwTHS!4+ jmƌ5ڒ S^H {_߱m j2W-:1h[ӊ9ږ`]>{`$q&2♯{\ Y 1!(|u .( A2v?EU"x;Fz:c@7`BP%nf1!P1O چ?T#>WF!Iwh/;cw 䮸ҍNz<ǞF]MǛgG.upq[rW:~{=?xlsstuy<'x8>=mip1o6ݢ3\\ܒGn>p .Sps%W>r'{/FvqS n^wV]guNk׋u9PV\^yPSŹ gJJvpwɩS ;bv+yrm w (z#&|\WB넭W ܽug,X{]a]|oݼBm(\竞gK*\w>X.SB}w0^l*ġs]~Vph(R>v>XmT=2 }p7pX ?S31:BXÈ\[U9obk. Bib>0d \rMtbZgpkl(ZJMk`b^U_r%\r%\r%u#H5\*7Z r%Նq+H}YQK.K.,&1ܹ1r nJPLDz.-P K."W jk $74N>4îoK.K.b.|tⷹF"⎆(3ܙҥȽXsa˪Zq8n {'m}n}}V,'?(Oh⭡OA']Nso~ӢdzmN]g97ᢪ1_iuct|-'7+_v{tϘrחwʟJ7,on;)+3[3ߓn@ŕe[q|V)ɓ%kTuwj~)A~|[zDFnsW׀/w[:s#r:̀ a 670 ~#Q}tG}"}wI<~L/kyr)-Pp% ;tϔooh`t_ϖun>k vTkkNu'_BVSt\~OVeHn76h }^`AMNO;0WՌ3xiKn q)Sv>^nԒ'dr>AklC^w=e7Xrju.*~oxM'ǚu'jԭ6ؠIwb񞚻nn vb5jw8nd?܍G7V ZtULƥ;\rʷX_L!CG]w|Qp)b~"&\f-M17,Gu9!vn22wS /$6wpAw}at{#G㿞0unLIG:X63,ߍ#iծ6MQSw&[rg&n,JLܩ8*5q%}ĬhboɕDex+c-ĵ[rG&-q]H1ﶓo9.װ %ג~KnX"u-SQKܬpGٍA`ہYh}M *Q? j.F:O۳vZq[ז.~Kg2yc]go1p \XB .d\BargBwڅsA\ȸMn`ZB7t88;BwFqp|8't=еMHJ.<wy=z2;0ג4[]齼'vln̺|]ƺ>|a<>1M5筬t<k/׽RH+w]yW@WyUF\PUG\$vv9Hoʮ+u\yZJ}){#?!IdϮdqp~*ُ|#V{3og|*odhIiݛg~<>W%!nqlio34}$nAKK+x|&1(?rx3[J.Zvk.t 9Od/!Y`oĝ}j; -^hՇ4K~IENDB`n1mdڂhV4PNG  IHDR4I PLTE`# cmPPJCmp0712Om1IDATxۮ,!{L}ʤ^rr( 5{4rugAQB~~~~~IG><97z#>y$wTo?!9t]9y305 6/q3Csh N@S|=N~X/9_3tl+ݸYpt-G+M]rz0z#c^!\GnBd7kJDԹ<^]85 xʡpd )W 8}g(8ꜼݦC2ki\rNbM(rH8/Gr^ RkVr|!e;nY.˧@='#)*C.9*E͑)*9;LW k!g`yP6>C-uKF;lGQ*}+K5ʄbzoS ;6vw:/}9/)6hna-7aȐBZ>i^9m(~Aq9gS;Gc5gwwlmt䌟=8N#~!aμu*@soE瘩dž#qP%W|{}Ls3aB#a P} |i&3ݐ%'q4saש3%f_s]_s4PSS6xN)K~=8Ahl8OI𕫢AP \;9맜錳qh#'qVS=|1/͑{F~]Ez ʕPx֚c9* Tord99C. T` OYٔ_ܯG 8b<>㠡 $O GterUODKqTa'(_p22J*opڙ{|*}9iʂra&v*#Տ?zն"oXb8IkkOLRTJ`笡ѫEJ8%Pn+"HNP,zrQy6MV8*<-t*tmzcHOUG.Xc4܆z3.w'm&hA'(j>ㅧJ-{i@Ge\wot9~]K)3j킣mXB.$y%y9fnEaLVPw]'vLOOlg!,̙􂵎J?qv%o^d8q^f\ !SL'VJ:I7S;H%|I}:L,ŭ)سM֢M}8F'(Ujg'>jK\"xdPX'ytg$9-CМ3&f1>Q*%=^BН0%4R_g c6![k?dhP,:~pa}7tm3pHЈ3f5uUW>1~XhaJ 8ro8Q9՚EQp>PT)D6pQ,DjvȘ8CDeFۆa/rZ9|0⪓x{k|tzc~ȁp :p(\v9La!]8JWՍ?_6xk7їsշ;v'EeGt㨌wcƅC7Hi8;s">s_"YTi˛G|qpt+'_k9|83 ZUQ;ыޜb߇^`mxX>2WОgy]9C*/Qm3Բ|_/IŃt=8žC؎iɿqzlYi9Qzp :HS`9ZyB Y P/qR&;uJuIIR 9Œ]u _o[pFG@FfqPµN*c4G>8q#|o:T8P[\hEr1nrvi5v@ڝiLɰ\|얣%glKd8>J]H wLKs0qlAPxa~`b͚,Ia{GrFuȪ޽9_n*!sb-N$Z<Y8IJNXtAIJ6g<8J-:@q6gppuT#xa-:I7^$8, Wg!ǟprm=总ʉ[ nq ?dU79$WNA|f'ˠsNpPSΐq=@ 9Ԕ]Q IU1hTE{Qx3pǔB35{f7gB!_'j8!w츘91.QG'tL[8|Ip͂3c%U m n_`XDkWY|#pqGIp~|S`Cǂ̄=&=SS˔)w(9B ԍMYv3-"\s,5r;iGuׁ0Jhk -h讝q?@c?=rU~$SS#G=[Ό= =fn9-ifȹ*ZRg 0m aȡ cmz]T%\gapK@٠g9 dzdgŜ;֧A?WZo>-1Ù-}OHD)(<`GU[E#G5b{%bT?ɘٓckG:KT#}%.-=68opc+kpj{R#y;Hf{Np>`W)k!O8>%G?<;e8aa(~Y&( \8N8x::7 #C5p8H沇5pAQ@q(U[nF[ v8ppsd;h]hXӌ9EK&{t`6,y±]YR ǜGmE#G24Uls&,6pFifs7>X 7@pDh'.hCC8 nh%GKxO؟qi;<'- g9o)>g]^X~*8~̳ɾamU}ݏ/p|؟ ).[iEIENDB``!^~p v..  7 xڍK@5i "("*V:8 ۡX!hNΝ28'H `g5p}{}/a20L˜E0B Žh "F"!V0L J٦]@]9B3邹kV *bq[>0DsŒQ׍Q)ʰ ݻ$OI%9{B*!:úQV,O j^E/Awx@,CXu|udL{$9мz gϛ<)xb?´LYڮC,Ͽ3r}Vgc>7}GXYk}SEN~NOr8ÙtN_m<s\%i8ʂ5Gi /QzTY3Kz͌O3ër`!z[hnWnO ) ?Hxڍ_HSQ?gùik S %>DF!BSK D "!(H%у,FPS &COst~C w~ݳ@v&lD@Ų($[J:F{TD^2Y Mt5|<[t~1:WL>^7ڟN&j Ьpm?_lTAGӆc)sl'C';~2ãMQwUr=2$vT)fGߵa`^0/Q9o !a`^0/MѱEr`hUƧ j8e#;U IHh*zx;^حUk_n;{`!bp*5 @9 H`'xڕOhA&&a7!Z)(R[wSDm&ă%R CTT^J,"xOUOUqy;3d{og}YI xx% /!J82CሣRx^Z ^*>Mj&쇀&yxUR aIBg]5  !U⅖Єt%ӡ1U˂an*Pg/H<{[vEm`Uƕ̚>W2]cKg{G)HzYWV$nit 6##/UVWUt~b sבo2>O®F3JJcӖ><Wt'tp9͙]N[)7||]8+9k''ofm MVmI)0済)kY}5*ivg^JYfrY6:n3~ Wu2ug=lwj]l][x2 {8 dBv˺oLJuߔJF!\d2gkܹ?cܯXi~}ODlR\Y@nt}l,6 rmw.4G׬boen~ژ[χ܎/V?QPNG  IHDRL pHYsaa?itIME  5$tEXtCommentCreated with The GIMPd%nIDATxr6PeeKΙK,у,iC5(\5(\r Q~~%(QiRD^4_ 5p\ϥjײ߼{lKl6/xo,׹˙ukeoZ502fȽ~bylXm`uֈыie{k`0XAH+/=Z+ӹD^Oi?Gr]!}m8@ިM^#N?odc)|9(\4ŝ.P kkP@aY;XNe5_ Fr R8GZk`\`͛b\[6w<Υy|.wetMlj_m=@HϚWd=g]+_[GfFs+s%].-9S-j=xo}ޑ{[,\{rd-s+Ás$x5{i^=8>ؔ,[ٟ+܊4 {kz/K=JK?ck촲 99_ ]u}n\j ZwdA g+wBP9R'8Ѐ>%@r]~ޙ5| ~)ourm =*,PB\\cnC@b+f5eC@V8Lk{~@SymX+őҲ,i!)H,$|,{3m]9dKeE RNs讂m݁pkmS\BM[o^\[k0R+d ֟l,[HޟZ_\ph7wGnh4M6r@+ Pgͯ2/p$ʊ' o.Պurέg_nܟ_՗\*uK\T=@~kj R\XT+(5J55`a. r eZVPkZL>eZ:le@VkJjZ38`RP+|QjˀD-I@FF `Rr QVQ4PT!bMf8\>rx~\7Po#]xr @V:,iXRJ55' k@8~?en`+(Н9)c)`rg_˓  -i&5u|[6uBqJOy2p, =s06Śh0k` KPn)P!" f9B\D(\.С3׀Ah6C@PB5X+րA(3 ((AP镻D@r Q2m,P0s ZrkzA1(ssZ#, n >~kmbpWdkbxeN\84)׊5l2s (U ϔ⬶X2s (GnsWiwஂm倔{m[E b 5PlLg|5?^>rF86 b K8Uq kGrccbRFzCo.D^+֠\q)#=*9\wpU-Lq`| '0H#׉K\ `$N̽+VN\ 0 pfl豈ftVP!`b@dz]'Pƻ3[e!;ZZrA{L[ohgmM՗_kJ ˃xf P3ko^Z*5rkqb eBHe0AcZ8y\#_DCd`e1 {=[P %Ξh밍a\VznڿA.1\t-\, lhd+֠\+R5¢yyb,QA˃9G(ˉ! r.e}ZR +Lin[͹Fɖ\>֊v}YL}"Tp!5(PY49V)>0Z/P LA2 1-wn)sq6p" w %ZԑmOsƲ+ZwR`k>E@t y8W|fH, APeݵb ?MBR 3(u?E8Pk(Erb 庯uK>(\b \X@6|- 1p5(k5 '낄/F_wm6 P4X{.Gqr 5(r 5(\5(}qX>ym?ٟ1ݹmܛ˼Mivk@BM`h50|fNomd+"Lydv'/fD+MW^74Ρm~cy Soh["yQ^ʵ">xّȷ{yZ{k?FSCfG9'ܾQ^g3׹+#G1_ks7[}^ ܛjɶ¤ֱhSdzb8ٵω-cd(dzOh:kOw׾VcDv\g7[>m"=Ox.3y/Z{6d̖wf2xx}꓿cʌ䷷Q-<'^QAf;D$eu=x{}[pv?KZHl6jg)~-]ySfGǵ"eSdzٻƈ:Q5,1Z}Zf;̵̖O[17+ C#涬5\3d@o!-ޠl^"z;ViGL!Qrxkh,s[h`"9pn=`~| & ohd@ӹ6r Yd kg ѯe",l紉"0s 4@[k/!B@k@kPkPt"LfIENDB`nC#E&%T7hPNG  IHDR"M6 pHYsaa?itIME %y7PtEXtCommentCreated with The GIMPd%n'IDATxa*ɺ^@LTظVթ3dxAٶmk  < <  <02Z-o&@ ~~~u۶Og?oeu@ x_>Ŧ6& {"N۶)t/|(S{ ^k:wwx/O1sTtQ8uW缲VK2{=0ޢ A~@on: n,Og_WﵴV3`6Gxm+0 tUG38zރ0{7ּbSz 9~>*, o}d_|J;E6GNo~ @(_} =p  ?q1o&pzxzC^Z0~J˗nǝ>nNO样^_z;zX WQH @;Bܞy=};?V\c;B"_d[ϗ^{O8@3N>ɀ ekK_@?<{ iߑ{I'xXSz/bU> Q~.0ljN?#:΅7y`pW:6# LAksi{F` JA}C[ stCd[|^K[ Q w!4e޴rϞ VH=3 ;ۇ|諁6Ac6Tr|j+^LO^~@ޏV֤"B|~|yIGEr;!~s"7> 0i/-/)FgE v< )_/@Z7 R!o 34ȗ:Z'~o *[5CѷNR ygx'>U4R!fx7VZ/-=@̐_4}լoF=^zի`eߞ:0Y?D?Kߞuu|&JS V<)wlLIB<:@iÊ@@څx>SkЅyd*A^aJixXxs;8zNy(x٩ȃ-zAmȂ |?ؙf J!]abIhڇJ< B<wA92 WyT95pűz^{BU^-ݿ5$ڛoƀ'ב?)m8 Oko6v^˚ g$/HDm3]hHEU:> B<8va-tӛQ4}z5'uwN~^kj%l9UotGCq"c]RZ@ʯw= &`UY`墁<0lC9m @xm @!XaM|@&X9tGEgGp=`pOJׄ`.ypcTPjy=lJ!9YQȣ"ig<\ށ1N5۶ @Wfx y5NyxX"j<G4g;Z{3] Bf!H >||rD'" ye=~F>pep0B0ϭ _ =I07mgo]Ƣ 1r _A4`>i7UZz- D곬2{{AoPf_d%-@_,s|<0k?z܀ /[KoD8r >9~@Gx.spBϰ_۶Mou8>j>s-V8L/DwzCoI۶?w~O$A>oyGրKF31g:84.gc([uTWGtGIߕ>|ovu wTzG(wkAT ۀ,[k  v3o Z4x$*tI1 3߱<z(+]KDZgw5U?Gϰ/xa﹚~AzsA;#x=Eh/zl\֞$M0݈69Zߨ+/GLa*lavx#3Bϑ߶?77hq<EzD父/Ґo?G>ΐX{q{8ꏟ|6{h׮/'d1zO1yVWđ}a_\ՉF cu8Y;{o}=Tk;<.L jWicG.jG"\.ʾh}"=$V'p 3D'd=uLcWof+2YG:~uWÝUkkˆ:%h"1Gׅٟ%{xJG9yh8{g_[޾Ddj KvGpߪ} U3Bήl+\ۇ֦ZU70 Sk!k}k3?+ hB y*oJ u!ޏV+U?] fa<=AxM_&:Sk 2XϪT@y@U -n_IENDB`nfJP8bAb@PNG  IHDR pHYsaa?itIME ގtEXtCommentCreated with The GIMPd%nIDATxr8P+!Ωnwbl|m۶D PPPPPPPPPPS~~~)e1n6`7>DY o*m2|x?aQܶ!G#f315𪲸 >sܔ>j> Gѹ;0[axuYn2@Vs$*W%zOxqf`ثa}[Mn ~N{`虿Wí 9+œhbofEо(Lef1lዲcУG~ W (oʵܢ8BvY(^mFԀ,# b?3N<(m3 \ސk3Ůe"V(LQ?E y,"@g%-EQYE@y(*Uۊ|uӁ]^`H,B[`1U Ż7xkQ|,(ݭj.S1U6P(|]HwR0Tǣ •jCXr{th 5Bvn OQohEHuvU3o .ŐS`Yzexu("P9XF@Q\(*EƫEeX"YޚΆE`,:xuvif8 đ Pz[("pX2o-%kTA*,SE /H@QTEV\(za?\/?n,nbŲx}lL;`[0VEQ̹&RNo@T9[3%n"('`{#ǧ{RqrJplòxܿhG/UG?̙ٓbt}\*>{{R^ECYTrI {RYsERYxcMmp|\.G#m@{[(6+ǾA?uʲ-h=ra/V4+`W^d@UQl\s ؚi6Q(XwbE؁ʢ l؞(]"l=JϏK#?@Z ?\:NjUvܯ:NR S/ay1`R?J^dгM:ţ;B6'V>z؟odX8geaѐ}#vny;M(\oȧC^/a #Vs?)?a烴7.@r60fQsCZ|Dx^Aրe1l*-{3lf@f3{/ʢr/G3ؓ}',SE ړcEEba򜵖;{ɲa6uTDe\h (Nd%)^H(QE1.Qȫ+,b9]hQv9eq~N7[n}vhW9TY k|}Q b17=.qBYE5CGEAl9Z1JqTa3 0RVJDEXsG*z1|ْߛޗ"P |KNU},@lqGY R3E-Kb,:p'[Rڒ+(P1~-JbႲī@yFY\k&1Fpgr$( q#{TŎ;Lb7(б$R2@nJL8;jqE/wC1C0w6.~5@Ypfn1|:;h#s5:3,2I=vV'•AϿe_VT`kūm'D>,29;!@YlTJ3(Ż(Q b2588\IŎ0UƞVeqw`زdU8|˷| ,[,1uwW?| `ւ^(R,[wW1|˷dX eX" ݛuggbodY p %6 P=fQ<bb}j\u-uP$3ݭj^~Xo@A:<n0[/?\^ß!Ao /Gh+X~$p\~נh=~ֿ߆Ke-Kj m[u[w-r o-Hbr6⨃gprɂ#zfq_TgKǞ?6jG\ߪ@]LZ~+]WLuԲfwjo茴p-Gly#eq64`e1V[Zo5X=f@}^"X( ApӯU@ocgȇ(L\.q "`,nh ѳ =h]: X~<(,w9 ^ePcߎ~,Cr3[!ސcaA<ۭK)'(tpawM,P0XFY \PPPh?;xO"IENDB``!J0‚-TrtJIB@)8 xڍTAHA7꺚mjLZ<)R i1tAAm6()u7Q @͑NTˋ+Kޏ簾yjK^TVLRx \TZ|~yZNjI=Fqui2G>ׇ5=P1 'ŗ+t*Cؿ{Rz?zթ/=x|X /97\zPQ?u2nG-n"y^\ܞTLgS?{ꝑ!enn ogW.WCPNG  IHDR-S`sRGB@}PLTE3fX pHYs  tEXtSoftwareMicrosoft Office5qIDATxA D_F03y58/2Qkjf4hРA 4hРA 4hРA 4hРA 4hРA 4hРA1t&,4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAhР-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-РA 4h ZA 4h ZAh @hР@-Р4h-:oIENDB`n8N:MBPNG  IHDR%(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-|0z[ 0DVerdanas+-|0z[ 0" DTimes New Roman|0z[ 00DSymbolew Roman|0z[ 0@DWingdingsRoman|0z[ 0@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4ddddط 0`+- <4!d!dط< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"  ` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>>  (    6H- "8(} - _+Haga clic para cambiar el estilo de ttulo , ,=  0- "8( - kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  0- "^8 - X*  0D- "^T   - Z*  0- "^x( - Z*  \A$@޽h ?trescolores3"@` 3380___PPT10.# \? *Diseo predeterminado! 0 @T1(  T T Nt~tt B  t~ n*  p88pp T Nt~tt  wB t~ p*  p88ppd T c $ ?U  t~M T NLt~tt  K t~ kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  T Tt~tt .  t~ n*  p88pp  T THF~tt  w. t~ p*  p88ppH T 0rllC ? 3380___PPT10.M@K0 0((    6~"`S D 61st Annual meeting of the APS DFD San Antonio November 23-25, 2008 Generalized fixed points and the Lagrangian structure of time dependent geophysical flows Ana M. Mancho Instituto de Ciencias Matemticas, CSIC Joint work with JA Jimnez Madrid$ +$ff3fZ3fbxE " ?  "  |A .logcsich_rgb72_200x296` ( ~H  0@޽h ? 3380___PPT10.MDx  l d 0 (    6r~"`0 w Generalized fixed points Fixed points are a keystone to describe solutions in autonomous DS. They are in the basis of the geometrical description of the flow. Stable and unstable manifolds of hyperbolic fixed points organize the flow in the phase space. Manifolds are made of trajectories that asymptotically (in plus or minus infinity time) approach the fixed points. They are barriers to transport that particles cannot cross3f {C \  S 4Afigduffexag (  6,~  w  |Integrable Duffing 03f&    dB  <D0 |X dB  <D0 wtV    68~] < O )Fixed points Centers Saddle points *0* B         Bȍ~ ql PGeneralized fixed points   0~  Z x1= x2 x2= x1-x13 x= (0, 0) !0G___CKCKCKCKCKK C___  H  0@޽h ? 3380___PPT10.Hpޖ   @ (     6ԣ~"`0 KO Generalized fixed points Periodic orbits are a essential tool for the geometrical description of periodic flows. Their stable and unstable manifolds organize the flow in the phase space. Periodic orbits are fixed points of the Poincar map This solution is obtained perturbatively from the fixed point solution x=(0,0). 53fPa ,**  BP~ q, PGeneralized fixed points  6~8  I x1= x2 x2= x1-x13 + e sin t xperiodic= -e/2 (sin t, cos t) + O( e3) J0G___CKCKCKCKCKKCCCCCKCCCCCC CCKC___.!      BL~2  k.20G    Bդ~] }  k.20G H  0@޽h ? 3380___PPT10.H  P (    BTܤ~ ql PGeneralized fixed pointsR  C *AfigduffapV R  C *Afigduffb] X   0~d  uA piece of unstable manifold <0 2e3fg3f  0X~  sA piece of stable manifold <0 2e3fg3f   6~"`  bStable and unstable manifolds of hyperbolic periodic orbits organize the flow in the phase space.&cFH  0@޽h ? 3380___PPT10.H  `x(    6~"`0   Generalized fixed points In time dependent linear systems are the orbits that would generalize the concept of fixed point. 1D example All trajectories asymptotically tend to the solution xp in plus infinity time. This fits into the idea of generalized fixed point. We attempt to provide a unique definition that includes solutions such as fixed points, periodic orbits and this particular solution. 3fd 3f<aiN3f  B~ q, PGeneralized fixed points`  c $A ?? '  H  0@޽h ? 33___PPT10i.H +D=' = @B +S jbp (      B~ _ RDistinguished trajectories   6 ~"`0F @ Distinguished trajectory  Move less is satisfied by the minimum of a function M which measures the length of the displacement of a trajectory forwards and backwards in time on the phase space. |3f7csJ   C "A fig11.   6~r tThe distinguished trajectory is that which  moves less . 8;`   c $A ??`   J   C "A trayp <H   0@޽h ? 33___PPT10i.H +D=' = @B + A9(    B@~  RDistinguished trajectories  6$~"`0  Distinguished trajectory At time t*=0, different initial conditions x* have different displacements, but one condition has a local minimum for M. Different t values provide different initial condition x* for the minimum. Definition. (t-Distinguished trajectory). A trajectory g(t) of the system is t-distinguished at time t* if there exists an open set B around g(t*) where the defined function M(x*)t*,t has a minimum and min(M(x*)t*,t )= M(g(t*))t*,t @3fc c Hc-c     3f              $c$((((((,c,004c48888e  Br~  RDistinguished trajectoriesL  C $A  fig2b@ H  0@޽h ? 3380___PPT10.H    (   i   6~"`0   Distinguished trajectory A trajectory g(t) is said to be Distinguished within accuracy e (e 0) in a time interval [t0 , tN] if there exist a continuous path of limit coordinates (tl,xl), such that Where the distance || . || is defined as follows: 3f c ccgc ccckck9cckckGc>(R9G`   c $A ??Dg `   c $A ??0 `   c $A ?? C^     B~  RDistinguished trajectoriesH   0@޽h ? 33___PPT10i.H +D=' = @B +u  u(    BP~ D Applications H  6u~"`0l @ Periodic Duffing Equation Hyperbolic Periodic Trajectory V@3f$c 0`  c $A ??@8P `  c $A ?? sN    BP~8N  Structure of M for increasing t` ccccJ   C "A fig5 2H  0@޽h ? 3380___PPT10.H  f^8(  8 8 B~ D Applications V 8 6@ť~"`0p  N Periodic Duffing Equation Limit coordinates Computational DHT VN3f2c >P 8 C (A duffingD X J 8 C "A fig7@ H 8 0@޽h ? 3380___PPT10.H  w,(  , , Btz~ D Applications H , 6Х~"`0j @ Periodic Duffing Equation Non Hyperbolic Periodic Trajectory V@3f$c 0` , c $A ??    , BP٥~8N  Structure of M for increasing t` ccccL , C $A fig12` pH , 0@޽h ? 3380___PPT10.H  d\<(  < < B,jt~ D Applications V < 6mt~"`0p  N Periodic Duffing Equation Limit coordinates Computational DHT VN3f2c >L < C $A fig13p X L < C $A fig16 H < 0@޽h ? 3380___PPT10.H  h`0(  0 0 BPrt~ D Applications  0 6vt~"`0 ) A 3D extension of the Duffing Equation D)(3f L 0 C $A fig18tx*` 0 c $A ??C ` 0 c $A ?? G  0 B;t~ EComputational DHTH 0 0@޽h ? 3380___PPT10.H e  4e(  4 4 Bt~ D Applications  4 60t~"`0 I Geophysical flows: finite time data sets Numerical data from a QG Model@I*3fL h p 4# 8 Z 4 s *h p\ 4 C ,Amodel-intC @,L   4#  Z  4 s * n  4 s *A ?f?@ y H 4 0@޽h ? 3380___PPT10.H  4,((  (z ( 6t~"`0p  h Geophysical flows: finite time data sets In Mancho, A. M., Small, D., Wiggins, S., 2004. Nonlinear Process. Geophys. 11, 17 33, this DHT is reported for the finite time data set for a time interval in the Northern gyre The proposed method could not be applied beyond a certain day What happens to the distinguished trajectory next? Where it goes?`h*3fRn ( B4t~ D Applications L ( C $A fig20t H ( 0@޽h ? 3380___PPT10.H @  @@(  @ @ 6(t~"`0  o Geophysical flows: finite time data sets Path of limit coordinates and trajectories. Beyond day 300 they do not coincide. Distinguished trajectories stop being distinguished!*3f (53f @ B t~ D Applications L @ C $A fig21 m`  @ Bt~8  EComputational DHTL @ C $A fig24@ H @ 0@޽h ? 3380___PPT10.H H 0$H(  $S $ 6t~"`0  Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. To appear in Chaos $ 3f# T3*W U 0Ki $ B8t~ C Conclusions H $ 0@޽h ? 3380___PPT10.H &xY]lTE>3۟-햶uE->``)$aM[[&JƠ!D}_I4}›Pc"zܻv[|sΙ3wfwkYe;HU.NtQg g ^ Ni=/O;. `kjtCt^bg-eLRN<~vklN2{|.'t21x y{peT,DBe B>_t>V} ˫2ŷE(ŠR5RcMJP9U'܃R e5(P<\u}ێ;BQ^jpu Y<˃?˻,B/hit[ 4(73}>5\6TFuVR>GSJ 89Gw0y-LNke@(!׃&( *Iƽ8Td p_- |őSx/j*  |{7SNm"Hx(%grېoLMhBRqMcK ?i3;QXU1hfO^ 9yG}Krxޒk{jP8TOǭbr59-y7׹{|c}o夢e7f<'|T7NJ<,qƼ̍G/½2{WIRxgn+sϻ)C2NC&W I;a@ͽܱ;oE{(zsh?dB6r<>WHmx FwXv '0N!zjtnz q{d  NVVhk݁MꛟrmYx|h,G}[_wſex{yL qDpz%* ; wvW#.IyQ܇!aG=vW!$mb0{a `#ׇ8}̳ڳq.7vP#LټN B,C,G? N7lםMg zo(sMQ8\;ĿĖB {1R;?: 00C;{b伱Jf5B}T\??A.fV{EuI Ǣ5]Bz4Zpx?Fp ;ZD[Яy: o2yvqi8,'H>isz4 c2sߙ{V'NKi2>,$|I4g}`#tUTZR/A/fhxXo1\ PSu8HXXP *D#izAM.HH+B&f>PV,U* gKuCwgoCnm+:8IQ׶,U),`eQnW8`doӺ!5]gƽ/TJz 8O9BJY}Qp5* nY\y79* !0GP9~!9?8 d~yv`'ۿGs2^ȵ'—;cxaP!*iyJ7序PVC(EȤh5Oȅ9F+dL`ڍ/P6+ah3 ɣrNgVH_q7P˙Uc:i6}(Y4M0,1胆s0dLz|?9ί۵ JqPPlzs.h3 bќ/ӐƟ8'a<0;'{\駝k;L:cO'V ۫f!d 'OQ1{*4./F7P|5Khm?.޳ Zp6lW W{%{}*̘27\c)P'cw)?܃-`A|mv}ڰݏc{1"$` "W=06Do L*<;Gug艊*i8LOGtg8'ᄖćĔv+"S}ZD&&uxbs8|ck?g0*S| O~s:(Õ*x B0_W٘a>)m@y:ɶ2LN13ڈSLp.&/AAVo&=_-K%8ͦΥ ' {+;Đ-݌%\7|4@Shb0 db!cÜ=?7w6qPro !m*-cZX2К&8Gg/`YvI䦿$C< ;Gcؠ1,[#`E6~T7z}FUÄ쨸3۠t"q֠QڟLt*>6^.7FB+Q \c>P/r{/4/n{ITkC?9Y ,dښfK4aͯ }𘐳—{{,DS(j7kV7zm=;VpD뿫0]'#og[^U;-z[Y.WD+7a&JYP(HRЎAH' C 302qS?͇}/^^~ϪWepJ*pFss{n<% G w="O2$e|S0맾S*.$/K- *ɴc m7MIFy9mOpxEca &@G')%+Tj겛.i?lw tG`{t=uXAǀ'r@#&,"磢zZyv?_ǒ#x:cl:Z|dBISqW =R#TL_bl0YOn,OS]aLQUxguZlG]Rۿ(LiӬJ-֒* ;KuS{$ ?H[0/ .x8 MFӧe~"6"aCvp7ߤ^^oz=*ԎAt7SZ lmp)}|:a0}|FrYGqTU+9AS1Gj` D>UF DWAuhr<%_YL3&>ÛuUkwL&} m߀`3Rq@~y7IMM!$5P}BfH(/4ω+yהnjv߂j_*KOc>&D[}doQl5[jD{m4x_T5=+=ѸU/xOw|]o?WGsHs(P ~޹v}uga(f #M|a ko~.ߝ+!mdgC_.}is<_Ɏvn_K%6qG`xVMLA~3[ lQb6MEEzjh "1BpD_h*O~P~F: FzLsw2yT1nH_|1~Kl[%D^Rf.m_)kTZKUL#fMr9ds+xҞrPYUD {njݬScܟn y2cZP{ɀ)=ʉ͹^D\ޡmMM^fskj"M`jmꮽBVFd۠AOܾM(Z~R{Az.@ )XXC}3N>K_,ub# 6"u,d̗_癲/BYw}Dq}@sIbQֱ_c;y"ݰ4*UPVowL/ǭ}wO 0?ϗy}YWb>>pFe?s/_-&c.3Kdgm?wm}1d'c2#Sb䇜Pi<ox2sA51reP;I=*~*OWp]z㎮su"PODm|"rk,\AL׏'"|"F8o O7jqC 7/Mo#o,A# R /L_gWbg9/Ӈp 1\Õ.tK^|T-e j s2Ƅ*\c¼Z3a.]QlarPYY\m&!abZ]wR25&Exϙ9WE8IOFFDwdCdX| a2pR]hl7z+;ZߑЩjQt}yX4mIK{8HO>Mޫ#OV9vO˨s鏝v;NN;O~OJT=Β5j}[3TP$,g~gjR^O_)kPl<τǜKz ɘ+˰~%ֿ@')S̿!{#u3>g\N{b;O<ɳ~G~Vy82T$M;[g0w;g[%\֣7]rOzzw׽gو=8xLJ-t.>sQ[\|B_9ﬠ-g(pvOO_`XX -($%j>}abb=Z, ~e2{I)S8:?Y+,?ú%,eSI aw׽xNxA]@P?RWg.M-Nku5γa73y2|݋vanoO|=vun՜7']9͸mG65%;62[ jdjZg{vwy,hg7hGc=0 ֮wbӃOjOyab2qϋOk{[@U/#oC"O ,F Ű M wxv27%%%%WS Ss>?kϒm%jq{L/ϸOֿܔ~?k?X%g'>Ko$j?X%gW8/'ʪHrYɮ!3ab[[[M&ia a a ˧M\>m)abg A?k`5?k`50g ?//?``)iii! 4j6?M1a`u0$/gB?{31at?cd`d`?a?aJ?͏#O#ׯh_&0O1LS 4?0͏0o1o%/k`z50OSL4~}PPz7| Ng@" `^ca̰cfb^ca̰cfb61]'CLJiz3ú"zziz3ú"zzaO&DkXOS+0]?a^Ĵ|`}b]QY zb`~6izO60]1]?4§O蘮JsyʓB8'Ujɹ"_< =4)/ 6xY}lݽݻwvg1!ͧ;#8Q" bѨ2NCqIIRP7҈AZ(uSEVDU u BVQovv3X6yxy3ov?^8L[wHT26nS@%G76>>T*WuI:_:R{ݛs6| rx RؚJ5u;FZeS,ByB% ;Nԓ:ݑЕD"q]}*z_ Us-ݖMmŵB ^/-̋ixYaN1݈'$ mog^v%wL'6t;b1?ckU\wLG;Q?w 1?b둘?LFIISz{ku}gvx_Wٕdd{r;y'-Rɚ.p}.>:c×K^au.Θ q~3ITt&a`qgL\ۺZ"\-׷}c5/7LaQٸi )W8 h52?pF d.lr<'% kq2מޓbKO0g1?a8q2q=>/h > ~jOqT8XZxH۫c0>A1N9XoD_U&'C_FC< !>|BXFxk6 a==>}v|~p_y#1Y[7Jٴu;pLn&brvqr|g,'t[z뮎Ύ.{ݽ鮎]v[;Mk9iMtv9t_G9tu%g[Ø*ήh_9e~?Ar󥽯SޑuNR}9gՙMM|-OWy"!3g(!S6)|`RAOB?~JL3!|q6!sӭ, "8wL87Pv߸NsL[%֫NNr/$@I@r@g+"¸'Bøْ7D |Rkl~JmFO' '5Rq[*d=[SeD:r".2=Ķ> ڴ` Gh¬۴NNf- pf+|"ԫ;V =!W8_ilQъ=Jo*x=ym~y" Hjpl08{o}JKJ0~}vCy߸9xbDp+[* l ~JmkQ6eCq6E[K"|A3Y>gg4|8)'qv`uۙ#xXMhA~3jaQҪ =ԋFz0<6Idk T)*<)AAԓ ?xz(673MSJ^|7o/_x7l KhPahpbHMb+8~L0 1|& em+Ο? ɯ}.~\(4t{ق08#kߋdz~ j$ʭ Ot@svzopdA ^UOWHBU MZZ׳`& ʏbz:[*_?iu mnASj&Slާ;F,@P̩VئU)iwN &i Ex `$ ' ^ACF`|"db:P;2u/-LQ]cLucw!.\`KZк5]`F-v#;2YFc9%+=qQ`MkgVz>ʹ\`z"rXe0!z1Fk rטXH4P CM';!NkmgR>=lB{䑌ZGV=hV-G\V7.WCopD{L>=0\ڋuF.iE8b *:F]2"am~Iw&%|{l<ؘU{Ll#X6=h;I3}X`烌%w<79s0W 긏,YL ;j r©[|1㧖'tFKLb]:NHVYhv}6="e 4xY l۽>r1`؆c BmbGJQT54/: PJ++ZU m6Q)q(RR"&DZMYri}78gpE( 37[n2b S~,g;U͜Yvl??3U& Jؙ'rEp=-$NRع'>eAv.ڕUTFnWَ~Yng❞!:{?=Y`,O,OTT!2$ 2 j 5 @,Y d)˓@A@A> @VoBiyYZNWrc+}*jY({B7÷5 DU = 'CJ`@zq]`la#P"*\=_XaGN,4z ,gɦEg}y,몬OUI4 LL kN5fۼEf[ε1gyk*?czh?ہZZ2/w iЗzRm3KܑFoYI7 HGbHNbH`>ȤYnLkC\Z %ZVj|T~˼FdXfgQit37'wğl߻O)YXCtT=Zj і#^m_Wۆ_!H>o4,F-a"ۊc[|-k}E^D;m_ {;-OǗ,_X_iĂǂTO!?6Z(?HÀu0A۶'޿i$!5Jۻ;"#ƺ;z~)TJd|{r;~'vYM]05>;dW ^∍98a6 s OSnb?bx|&˺ʪuq#~3Ozk%7.c;%W#F \5bgz؈?UnQ9's,4&JYc[!kLb N-.ָ:",6KBfq|1CV^_2Kc`{C@# Gz >~Hڿn5ȫh}IrQ{Wl[tDߢWqj^V zdͱmlyu]EyKu㤝:]mg? ůGxTר6`|V8:s>p>@1r6dGY;b../x"(}/`}4~>iP{z}`WӝY Jٟ〆Qqñ±Iq@(8xϱX߸P^O9$6VC:b=Q w9sDhU~>8NN/m1[-s[DIV;YL}crIH9E!S|7=FvF:mjXRgR-#vC#reȎL3[ hw}gY*8LF?olrw{|teߛ?MٮW*V+66_(6 > 6jok>5y>5y1#ؓz:gΘxĨ"1ob+՞rv;X%A%b~r߫]^,%fICOjYqp;dG+g~֠X ͗~rfI_GXT授qばQ߯x.n.Ƙ#F_ƣ<87_7Ҝdcm9 fbaz1G5G(g,'rJxµTP@zSƇu#3c}/y?i'pG7y)O^_ c^U9paB Gt̋9wS8&o3⬈9#b̔3Jޫ2f}%t]뿵] '; rxp^RЀ3ÿ lHbP  @AL G@;b bW< ]P^b (y36GPG* ~Zl?G&W"xXMlE~3kMM4U*MȨHFq!RR8 $*$R\@UB(U-*r@Eļ7޵܍cYJLΛy?3o{3X~. F|6Lh(Ԥ`)6 d#oʷ+uZs!]67oc.2ԫ0 - SSXB` 矆c .n̽_~,y΍cKa@1{u MR=Opÿ.?yo5:uƿ̫VS+qd6{y7:,@Bd0URqgJnN'5NOragr)o) @9dN t&t&}Xz Ʒy9+հ-2U0/NWX_9*ZJ𷵚1l>MigЊsTyNn&D3 VъХٸێ:% 3 |#{^C$)9!W"DINqja Z? RVnj '#ȯD*־²{%?ɥ 1c8ƤNhKRPpLym,ɦکg L!T-a\d"{1~c]?r;jNٯ\Gm]&E̥dlbņV>bsv'SYx1 1X)ٍ9b.r+9/8fV,> tSN1?I.+gys{M~5>xȂnǹE `oɯOVЮ6g~g9vB,;+By7K%{CBΊ]q3PBYFHf9رtpbi^OiQ)xbxPT#=qb0g糯H"gZ"%өl2? ~jB[*ι/%ڈ X3ߛwoyrh|d?"_/}8[#ܦ sv# ~5__iw{Ll.x؉=tb'0k|+ I{qǷ[r/''-0`3=GMRc8:`FZ^(j.qӯ)=z5vkx ? rP%(`x/   8Ecuacin Equation.30DMOh+'0,O hp  Diapositiva 1o Ana Mancho na Ana Maria Manchoe194Microsoft PowerPointP@`6@0M@M=GNt  &$    """)))UUUMMMBBB999|PP3f333f3333f3ffffff3f̙3ff333f333333333f33333333f33f3ff3f3f3f3333f33̙33333f333333f3333f3ffffff3f33ff3f3f3f3fff3ffffffffff3ffff̙fff3fffff3fff333f3f3ff3ff33f̙̙3̙ff̙̙̙3f̙3f333f3333f3ffffff3f̙3f3f3f333f3333f3ffffff3f̙3f3ffffffffff!___www4$A o(o`Eʦ """)))UUUMMMBBB999|PP3f3333f333ff3fffff3f3f̙f3333f3333333333f3333333f3f33ff3f3f3f3333f3333333f3̙33333f333ff3ffffff3f33f3ff3f3f3ffff3fffffffff3fffffff3f̙ffff3ff333f3ff33fff33f3ff̙3f3f3333f333ff3fffff̙̙3̙f̙̙̙3f̙3f3f3333f333ff3fffff3f3f̙3ffffffffff!___wwwüޙ¼ݷ޽·uݔoj޽öooü޼޽ýü޼޼⼼޽޼ݼ⽻üü޼¼½¼޻ݼ¶¼½ݼ޽⼼¼ݼüݼݽ⼼¼¼¼ݼ޽޼`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````¼¼ݼܼݼݼݼܯggggffgfgaggggggggggggfgfgfggggfgggffggggggggݼݼܼ»ܼݼ¼ݼ¼ݻݻݼ¼ݻ````````````````````````````8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0lDVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0l@DWingdingsRomant\0tz[ 0l@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"K0 c(  g  6~"`  EGU General Assembly 2009 Vienna 19-24 April Distinguished trajectories and the Lagrangian structure of geophysical flows Ana M. Mancho Instituto de Ciencias Matemticas, CSIC Joint work with JA Jimnez Madridr$,$ff3fM3fb( $ 0  "  |A .  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVeXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~L8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecPowerPoint Document(WDocumentSummaryInformation8icrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0lDVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0l@DWingdingsRomant\0tz[ 0l@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"K0 3+(    6~"`S G 61st Annual meeting of the APS DFD San Antonio November 23-25, 2008 Distinguished trajectories and the Lagrangian structure of geophysical flows Ana M. Mancho Instituto de Ciencias Matemticas, CSIC Joint work with JA Jimnez Madrid$ +$ff3fM3fbE   0  "  |A .logcsich_rgb72_200x296` ( ~H  0@޽h ? 3380___PPT10.MDxr>k? NP%(`x/   uaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0՜.+,D՜.+,     ,A4 (210 x 297 mm)oCSIC10 "A ArialVerdanaTimes New RomanSymbol WingdingsDiseo predeterminado#Microsoft Editor de ecuaciones 3.0(Ecuacin de MS Editor de ecuaciones 3.0Diapositiva 1Diapositiva 2Diapositiva 3Diapositiva 4Diapositiva 5Diapositiva 6Diapositiva 7Diapositiva 8Diapositiva 9Diapositiva 10Diapositiva 11Diapositiva 12Diapositiva 13Diapositiva 14Diapositiva 15Diapositiva 16Diapositiva 17Diapositiva 18Diapositiva 19 Fuentes usadasPlantilla de diseoServidores OLE incrustadosTtulos de diaposiKEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor logcsich_rgb72_200x296` ( ~H  0@޽h ? 3380___PPT10.MDxr$? fF)P%(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0lDVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0l@DWingdingsRomant\0tz[ 0l@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"B    0 6 (    6r~"`0 { Autonomous Dynamical Systems Fixed points are a keystone to describe solutions in autonomous DS. They are on the basis of the geometrical description of the flow. Stable and unstable manifolds of hyperbolic fixed points organize the flow in the phase space. Manifolds are made of trajectories that asymptotically (in plus or minus infinity time) approach the fixed points. They are barriers to transport that particles cannot cross3f {C \  S 4Afigduffexag (  6,~  w  |Integrable Duffing 03f&    dB  <D0 |X dB  <D0 wtV S   68~] < O )Fixed points Centers Saddle points *0*              Bȍ~0 ` RAutonomous Dynamical Systems   0~  Z x1= x2 x2= x1-x13 x= (0, 0) !0G___CKCKCKCKCKK C___  H  0@޽h ? 3380___PPT10.Hpޖ    @ (     6ԣ~"`0 X\ Periodic Dynamical Systems Periodic hyperbolic orbits are a essential tool for the geometrical description of periodic flows. Their stable and unstable manifolds organize the flow in the phase space. Periodic orbits are fixed points of the Poincar map This solution is obtained perturbatively from the fixed point solution x=(0,0). @3fPa ,**  6~8  I x1= x2 x2= x1-x13 + e sin t xperiodic= -e/2 (sin t, cos t) + O( e3) J0G___CKCKCKCKCKKCCCCCKCCCCCC CCKC___.!      BL~2  k.20G    Bդ~] }  k.20G    B̨F~0  PPeriodic Dynamical SystemsH  0@޽h ? 3380___PPT10.H  P (  R  C *AfigduffapV R  C *Afigduffb] X   0~d  uA piece of unstable manifold <0 2e3fg3f  0X~  sA piece of stable manifold <0 2e3fg3f   6~"`  bStable and unstable manifolds of hyperbolic periodic orbits organize the flow in the phase space.&cF   B`F~0  PPeriodic Dynamical SystemsH  0@޽h ? 3380___PPT10.H r)00FPZ? ^)2`P%(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0lDVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0l@DWingdingsRomant\0tz[ 0l@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"C  @ 7(  l   6ԣ~"`   Periodic Dynamical Systems Periodic orbits are a essential tool for the geometrical description of periodic flows. Periodic orbits are fixed points of the Poincar map This solution is obtained perturbatively from the fixed point solution x=(0,0). 3fa >&q**  6~8  I x1= x2 x2= x1-x13 + e sin t xperiodic= -e/2 (sin t, cos t) + O( e3) J0G___CKCKCKCKCKKCCCCCKCCCCCC CCKC___.!      BL~2  k.20G    Bդ~] }  k.20G    B̨F~0  PPeriodic Dynamical SystemsH  0@޽h ? 3380___PPT10.H rv`1}? R`P%(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0lDVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0l@DWingdingsRomant\0tz[ 0l@ .  @n?" dd@  @@`` @ 8 Ht ****   ..        21HG  >> () () () ()  () ()521 ()                 O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* $b$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4EdEdz[ 0^ppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(B"1  @ %(  Z   6ԣ~"`]   Periodic Dynamical Systems Periodic orbits are a essential tool for the geometrical description of periodic flows. Periodic orbits are fixed points of the Poincar map This solution is obtained perturbatively from the fixed point solution x=(0,0). 3fa ,**  6~8  I x1= x2 x2= x1-x13 + e sin t xperiodic= -e/2 (sin t, cos t) + O( e3) J0G___CKCKCKCKCKKCCCCCKCCCCCC CCKC___.!      BL~2  k.20G    Bդ~] }  k.20G    B̨F~0  PPeriodic Dynamical SystemsH  0@޽h ? 3380___PPT10.H    (   g   6~"`0l   Distinguished trajectory A trajectory g(t) is said to be Distinguished with accuracy e (e 0) in a time interval [t0 , tN] if there exist a continuous path of limit coordinates (tl,xl), such that Where the distance || . || is defined as follows: 3f c ccgc ccckck9cckckGc>(P9G`   c $A ??V; `   c $A ??0 `   c $A ?? C^     B~  RDistinguished trajectoriesH   0@޽h ? 33___PPT10i.H +D=' = @B +r*1W<? PI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasc_[ pHYs )ItIME81̒"tEXtCreation Time08-Apr-2009 17:56:49KZX$tEXtSoftwareMATLAB, The Mathworks, Inc.RPLTE/?O_o?/_Oo_o?O/?/_OoxIDATxb"I9S!lݠ7tn,+\[]%w:s:?9s:sBtNtN 99!~:sBtNtN 99!~:s:'OtN?9!~:s:'OtN?9s:sBtNtN?9s:sBtNtN 99!~:s:'OtN 99!~:s:'OtN?9s:'OtN?9s:sBtNtN 9s:sBtNtN q?o :x)Ч9?}|UpF`*?N)=gc??=ktqqQ.Wԩ%|R)yn~Ԓ> :H3_eU <%7q~0UI1|xO\)ĝ.j/Βײx!ql|'4&/F$'%{m@q/|ԉ]?Cx;.bCaF<չ/? w,xNJxN# ‹?x3^%xoA92^1~|F>~#ϐDpo$džx.#$ /o߾}*+~F3/C2ejg",r\DC\sHhw>YJ܂"yf1ܳcEgs?˵}:fO#^*G|#xHx=Lǭ-̑χgOC\ja/<[gHswGgs%b\-h2_+xʕ? ~@}gE!9lNyF{/S&I`͸hp$YO4⑖t ;iR;2ijӭ^JABxLأ2x>s`!p"1[_}K޲t~~ݳ ^i~ĝaRj'?P|(ӿs(b!yC~?%S3('| q6'TJ\wEd\}E6eqeď%O o +- DJ;O^H?ep|3xVppRBQe ^.C:yDVG9n=h 8BכD!q OqjGJޮ89O>5̦xF*-)ĵfA^Y*U_l@$) w'冕r0@2{;_d?fd(3n\og#@\%x&3:~CY0`*MnxA\9>ن$i +amƵ4Cq npd4/80³1Ŀx)EB= |8#SClES^t ~ [']$yfھC<Uo!ARu #^s5C^ku GnDN 9?;%sA߉Ɂ07|޺a@-9c SvV{ ΆD/%r"IgMHx븬xl׉=D N Y&DP;ӈ-^0Fp &ƒ|}sKوwr_t$kG' $ oJɈ6|8 o,'HӵZCx DetEr&)ěirq?//##%id)wJh/mIs5 8Ix7!&^KوR9daGu2R{q;_{?NpPb<E"NŲ>>֐7鬷[Rz mE˦\mDlpeჄf9q|?Јqqp՝B5x.t$9raxG|4b#>6'nȵwWd@cƫ^Kh#QS Ai~o8&o”8~y֣xSe|C[!<@G!smcXDq,܊}B!ܷ Ƨ}f`CtL.#0NW l.J/KƐo1C7oߺ* O _x!7gӌgU-YAc|1fܖxeULtz"u2,srn BCW cgdT8K>:ԗf0"^؏@*zlQ yR0t3F2?oϝr9eYAIlovId0Ȱ20NJN _L!qn+?.CDqȸu;møIEx:JY-(q_Q.cuw8G/y)qOLXY'O!~IS.M#$l.㵘bxSR#~1O~K0x p,⥄b3!١_G'|s1Z-mɅ [-9׌gA W]&u [\2J3O}_ESB]qCxqpkqq?&7gu;V\ě>VF fRu\#"N&d#n)+kOBP>1@eq8z?+Вl~z Jd2ވUώ}f\ӈ' ^_&d?# #5͖=!`0~ob"B8! Ē#p=}vE_ʥXӳBjTl<9sߌBpa/}ÌAܑj̀!V+W>xٯE 9a3?s66B)//<_/^;^E3ζi#.|@ZrA.[8╼Hx9쓓 Iģ#_HYFz-30ßd<pDr'Gپz-ӌ{Mh$4"Y5k=+B=uy#C^(SRjQ,3Bs!~hi< |:#n #GI1nTq w;!u@;yD^? ĥWWiPZ,zGDIc>_/~?9@q!rNL ܠ-GKMeہ'fⶈJ۩jfѹ׎cw1ۘ>E>vޕr#I#g\|] qz;20V;x=|GA#nt;-ʸ_#'\;CNfp2I_`A?g/xLꢘB5bMF|2ɍxjEkzvqތ9' @sB\Cqxڄ2  8* w ρ[Y(V\nfE.XOr7^>"~C|o?xT9q0^EA~BL;~z@d Ʊa:B* Gwoc(>dEeg:\qpcƓwh܏zEij=t% qBIdA\_{B_Y)E>֯b<`$O">x qp&[XY>;PnvCx!At4 xB<{5*Q;ExdEb|.B8p6C8Q p?7 Gxk:hM*:(^}(]:1O 2(n@i%X1C:tCm mԺ< ގh&$Sx@?d7wqcM_A<>f D(/6tGjC{:q"Zr@(#.*f ԛ{O_t\-kqC4>V\KE~eG|ozp¿M0m#g]x΀1#p)x@~'~5ֽ=&׌]G\txl C\$D(x qp+ćá(%ͥ$Q9̡sԫrYg2(QčbF<MGxo%f<<3''8Ek"NF\a=70r"ލsr2ĝnNrFܓdxKBAxϏqJ%5?KxO#_j*op7;!Mp jc4@|q[HF)J1= Qb[ 206QƒTs]4bOWxl۷_ci ^u kF۷=_B \8£NN30B#_#0!o9NuF$\Υ7 _8v8d2 ?GAw%!es~$7g>@^#}2!΄#HڐP={W䵢҃MIY;؍DŽx? n/F<xO ^/ EU̙ fɦ_ GtԟEm=5}v6D}89–uXZfCuJ+5*$˹ yҐ{G OGD-%Ӌ7f Y1&p3nR^]?Q"\M+3OAqSG3 HNK9\Y36ƈg# ~ug ׈ DYIS39 *eƵ*2IlxU >E7_QZb $7}/C]6$d HHG FIHCNF( DxIA A?[ZϿOx{kJM8uf/dV#^qӲJ9SmL8"ʌCM96}q\Գ9^vYх*y&~r24`Y~U!CB`%6]ү.1F8j2E` ׼Fa^\1Y/F7 QF3Ґw[VPĿ?+NS%mCݱlTE6yQn!|GG1.Yp/f̸Bo7']hn, E TuF/[J L@l@wzϋɝ[yBlnx\1^F{ FZ eɈ;L WG3F CCk [vf?x~­ĐT3M8zKK s@|}L_ـ#ٯ.1G@\NYU1d7og!;&.xY߾|'ZrFnO.'}±|tZ"i0k@ٛ:q~Qxe'qP.qԕ h77M$95ONۺBӒ_q{^acu0$=qDة?/Sg8gq­ 4pbBmLC~B,\8܌ MDHyXt7 AnBpbƌoH)tu˯t=ƃcETpQK~hdN'g._[rsKq8DvV!G[=?=r??{_e$#~e?3f+x1fK6giңppkd3bAq4 6 7Fx)6' GߵPɀ.)lyTДJvڠ^Z F{E ֪t#*G!h\7ċ=Ə? ß&A<ÆRʈ%z/vNxL [rIMl:_w׆  UkG+}H )3GIuu݌) ~:qKEk1@2. G?o>&AxT"(5-MzR&Ki#n8Ps4ffM3~22펓w5յ?8ڊ+/FՊ|vzLu{}ճחW8vtx8 v7~Qcn7B8!^4#9 m+Zg8?g_x)OoF9CjCp @(WX>7mQQC{桞(yO/j3n0D׮z P q{Y"^̷I ~?x{V!~l+fkwf8.!׶ȁ5MxZd eE9aGI rx0s}\-H TT b7ᕔvtjyg\ !L0q#s/>{Kp9 lY㗌E".n*cOĐDF\Z׌j nn 7Nn~bzڂ|ݤatӹTn\ C?;Ӯ/2{ ?r ҅UZ#H;v o,if0#^<9y"qwXx;v("hdqn ē%Y/C|By4>O O}_2s/+DqLkm@_1VreEΝV9-vcەf%q$h3nnYm"4FZNub\U -Gxlɯ3~ȧ׿ Ulc!n8xڈC̵qlс8~ 7/&#>dg֦Wm;9{Д_]N0޲y7%9펏^^_N8w4n[E%p ph(,Gx1 ɷ ;C!G0?ˈWsKbڴSr%􄋜780H8t۠5gM!&5CTE?,m^r­7l[Ca+ZN8Ru zY勐R#YxW%g'1W su8C n)ᶶGJwܺ Wź#mM c7qAz],T +)K6z%IM7caF8`X}?UYq^ƉF\=5SZvǝqiƏh`{8ǰ!_Qu\T@ܚqR!ysϋh챈ߛR@ick-kG"|;`/Y# ~!8dq(zl+W:8eܖcF|`ז7 %#jFKTaM>P]=v.q ;_G<C*"3n asj8 J'oho(V8Q ܔ ~Eͫ#&E?s~}D8կln[mou}~CoFUgʹA >42>]~TG|*eGT$F8b^f]^JiFJxݖ3FBW.Es[ Nk^BG~c~x}fG{ mcW8w_/:W4k#[тc~& ݨNtr#ޒuLǺ^!Y)ΈMiquLpmUdZ bXcC~B~0^:RsDzxPģ_

MH8ϸX[qfOPm$#Wx W/b\,g ¶Uy#_@^z" XTu@|0Dk 7g• {V|s0,b m[.y~fCF\Smq':0dܿ.Yj5+"ä:tIE QΉ У'MM4vpEГGǃxsNt"mxa/⎯ DsmVUٙׄ޿!:Nyuȩo>TT RqcF\=r{5 Ac02引 7rah|'8rj g3J ƙp-7y|ɠтf ltZ\2Cqjf5ʶl(V&%?a2܈ #O"HҞ:wkXLj,7qMݾܻuL?Է`2 ٵ\ؠԑr_nOIhԃڸnѭr.FvJuSc8^VC]61^)CQS!gazb>Cf!&gk[7 1n Ptrode7V"Aw/`C'wvr8>s(g*ǓfFu T3k)to7%0oDx7i:?\g<:% yO aM2߿[9ɕE~| IS786!E;m9re-r2@ g;O=8hG]85 5Uot:fꈸ yY$d(d?x7sxx}G\qd 78͟nwqK||.?@8@ZwP;Rbt6o$"F?j#?[^Э1嗗dr\Y3.VQRh&J7QF?eR+cCcsb>=9sf274Er\1tnj6d\b^` q2{vWF|ʈ >T-o&@*g~ pկ.[HC6],OMR}nǮaqt:햕dv$#fOmWg3i〧we £ qd!vwԟ\66p HRnB^Ky꼁T۔k \=rR&GrM>猧Q5z?.&d-µE֝O3A;:ŷk?g <9 TqoEfPTRqotK+8Ou3pt"QؓFA|1׎:űmOzM#W]}״6cqxO;F<qcBY¿kh?q!hN.~v>hpsg3j{ OL1.MfN1C/ jį};WBi*k&+0 N,gBVrnqS$Ҫpnjx.#BI#32%6ί^<=U'OnM8L}p#4}ǣ%Z@B|>')A_ CH"8qCVa1OU5F8f4vM{*⭞^B?!3: #\]2V̒@OL w~e?/Mct#نF8]ۛ:]`QƸtx" r6`zK 16ou#XpMfz2T2o; 4bk煤Cڌ`zڜLHӊ"n3΋=jP3?!d| <١2@HHxc/K3}A V=?Ä"FTƾ>ޅNOpLiħ e0/ 9@{wGX\%ԢYGfvFI$ GÞ3uZc*a8|}+;qCV]|x<5Z8DƃeMڕЈGx-b cm' 7d/1En]I E=7ʈCQ&=_ЄkR!XWvO#> qڲ`4!| q}FBH7{S^׮e$\ٛ`c h9FzFuV6&nN,p,.9iv(gHxtqa?xrmv /$ OacRpx03Q 5#gߢf=]u.z@3M*:W4l,,}鴵dƻ"JKLЌkGR@z\kLF:+=(ѐw%Hv7/aM,hhsovUˁxpG$$"$FTW^x|M{$⯬Ը_mC=@θ}O3uW/rի6l$΋ ѶxOPYeD[pEGgU K q\h}tV}Ied\ Ļ(n&Qm0uqZ\u ҌWv9f3nKFrw:uh6m04M@zG,9pjol?q/k]$[ބ+}ڄ ro^R!<gD|pS/}߭SF|~\S3w&o{c8>ؤ: >WkčVuizfB@B@0\ȯmqOS;G$ܒ=8ao$y7QbsE<E^cʵALpynlք#6@rdƇj*f/8]O/lijҟN [qa'͠mLSgcyqMކEJd]+ۊ?G)̨93#q8Džb?x!Gt~wcv= ijM8|y  `PTý`kXM#5qTk ^k@f|k-⮧ & c@wz䩓"< >O85Nvܔp*fcb݇ V.:=-|FttW3Z^@x!s3yq/^ ,@L׈1@ɽPĈzLӎB2nǝ D!iv0pga\ôj,FQ䶓rECS(O&Ѹ"|=(fdhm8۶ax7*f1⑏'|px#.Vy v[%/j圮(ն'J=/VDe!+8ͭ\@pSlf ˍ=W_QhqrM?j:, 7q@a*rP7 GXFuSHsog!W>jrx*x4CO&6q'sUȴxJ{^^quk:)/n)j9#ˤ +(΅6n,7ANfCGeĝQ87'H_Mm|cή-})@| n׈W q"^eGxz}&rn?2mV;ZI;_XAfoAjV I}{10+5W=k t֋}ma+zv\,Ҹ5 zXSF\Oyfr70cG2EIdRMܾx9xҕ4ˇ iyot9Hɶp׆־+fv)x~>ˍX3EaP#N"%VPj|?+QmEYnjX~u{ 3N%!>^٫[q8uQV[ 4LQx4h =5q҆{?YhI;8d&fx&ᅀpB[*ZAQelIkWM0v?%z"M ]g(҂Ux߾D`\.),Ѫ&:I<]N%8v_8!>_okRA)IuEth5wO>#ۤ׭/ jT8.0LJr6eS!<LKĔ@<+z8Lpa U A"}wr{ww!f #_v T`P3 ,*_mѪ^Ϯ ڌ~1k{ZlA(a͸8V =ǪϜ^`"ߖ0uDž{J"^?T6e2^H$Ywrm8cw,ĉss}hք/: B fQT-Sq%\3^X3Lk%`Ƶp)U0>m@p&!zA)"ֈl-1f\7(;qG\O -[3&=YWM9%ԥnImtޣAnb++v!!aN_6,f30~Voz!4 SWB'^ԠZFB2yv~e 7Z yMGjvf^-ϛz~5).aG1_-c_ ̣M]Ȍ*BżbT7J,&oita|Gg:ߚ>kƥpӈ_zp#E`7|z uckN!qk+E/q޷Gfl87AZpGw0N*cр(d~:#>ovl9O(تx/K:̌쩿"Qg_!x;ՇVk4ZD\で~B<u?Eu!}fU$qd_٨`O/.a -;7?;SԏB>fQqZxDGGYp<8WQg?6Sж|gM8U<>iW]NKwpQ׌-{†ٌdsڡ! cB'b6\#Nz3贚WG' ÙW=^:˰/϶4o4MSwa[,Gu5Wb|uC90w-oqfQG>0˷yg6綱8(kGX{ݤ6@2xpsF(g"^F<9BmK#r%zM(FOD8!nnz%N6U&'!Ȗqhf"Nx]-r iNk4$9 }!i;`q~18|چhf\}VGg}e |Wݪ)k!]mAn\hǚxR9p {/;gם%q 03l4aމFNHw$Ȅ?Dz6Ž" =uZ:_㾢`ϸ)tg)l!9,r*LS9ӌ ć_ΰ'WP-9\gč6˸Ƿn"\s&VVΚ1ƵyǏ q>]sO5EK'C8ߵ=%pa͌K8#0i,L ë]SKdҌLw[K ķ&lJR.j&Ǹֵ[Ol80f\+ C\ۆ~Wy# nVY]Lp\a6Y۱< ;\R6ʗ ^@1Q`x"}{-O\PqSn+C̸+d7ΛͫĜmnf] W!gֵ\6^fXZ_.9;1F\[% o،[8q&9IQ;.(p=?r{^n@nKa T1݆C%P6z7NrXrry(8FV髏z/vԭ~z>MPky)Ӷታvnb}-Rp|>1fqøuK/K=u̍%~ߥBZ1k\3NIu(sFJIҗkHcn eV\;pl?|-֌Su _\_U_Cmi]QΝn1zWǭ%^Wp@8PXFkrۂAmlpBϺG̘ʑrva|Ww喭7 #@<\1 9w,)F<.i ^6&< \.JŠ GBlw`}phh_q7zkȌfEkr u8.Z0z9">ıEcWg[)Z6cMSz^qYgdQB}iwԧeXڷV(-& _RR*ZJ6lz΀B|F }|VQR|Ȳb{oġ4~<ʩ+hZUd(J\"Уw`|Xh4FȐk\;>&UT7n2;h! }C7 Eȡ3fO-p\WA8׾ dCSʼnl'K.D gĭeeQ|NW C FBVNt^|@l 6:H9uB/Ω^^;:~_1Ɇ>H&uzAO+hv#);fru}F+\}?=nXA .5?iƒ(ԧ1w2Kq7猍rh}#I&w,W 6$>ݥhɒh]ͩbptS*;59N"&=n+ݾԺ\vEJIu --c@ܱoi{"_]YRYęO .L/]ѝ\O"Õ [ͻX ѥ ME&w4"pØSIoú"䎭'X`mi_qHhU3Ha &|8H+S;'S8rmu~mcpڊkַ ϣp cZU <`^۞Mt&d,SA#gUXFۯ!^O&C\7pqH` 襺qcysL9ץ3iƩO&Q8]W%J0?ۧRް6wkɹv[}`4r0>1!͎BwuEz8+-k8n]_wt>+^#D7l,={FϼZtd.f!~EIh1pu2˨8K+FbNF:Ky/ncf9i8!~cnȸEw N8V__d'XAF]_u, |)v >EoH8mACyd4S`i v䵥7Zn[c*eYa~T{|;}g2۠g0Y^]EwOxXH5T)pڃzھ=#ϸ3Wp?p=cGF^cH *3mj-κyXShĵgjFS^X&cI<2Z1tצ(qȹ54C*YڼP^x5"yDWB`|%RNKefşAφ_rYD&(p^ `EM@3ek^7w҂b**jz|[ʵ7p#k'ovK@,ii8'?^4Wf,%adʧ[gj+tj:S+%aU8٢uosl ۬: a.7A-;:Wѿ|%}zRFg<>#.![u&?2 a܌gʁz˃WIB[L6ӻ3j߽]:0 dE8.}4! N>5vj6+Yȴ,3~v Kwi}^Ufp5yIw g{COA8 #/iۈk Ƀ/k=ҲqpqswaT4[Ouʽ:ǻCSHCnbr4"ΩjkX no&۹om|EukX7yAc<1L|$7.G|_3]r{LO.m78Mr5F;]~sψC{MsZBcV`@fw8=>OȌOi9QwT[_4 9"0sO t ]9ݶVsI7Ժb {(w z&\~iQn,9ՋYLƓyq/p121ē6vDU"F.5phx[!Rp9 ћ[ޅpt- '#: tizXɾֳl6&3{M" \eCLqHD,HG⳥Wi$EҬ ͷq8\pL^a}.vYZ&i8F J[)1[mW”*xF=i7[F+ ib2,Y7!bUox.:yCr^KN&5Uѻ^6/OA8(F}ZIppkfs.Jq8ߔ'R/^-H+7f0n;wkB8⓹`|Zt\XV|;t /$״m-ܸo=z.; 9ri ?xF"?JC15@<@n^3]O--/;XH3T-jAo,}NYuL8f sUf-EPlkn#vVh_WĐ״{_(0GSbkVfVGPBG>NI]j=:v<!tK]-(:5͸a vhMq+"K+r^. @_Af׌bˍMWiգT7]§[Lv\Ӗdtr:ᦞwhWވtf/Mw`y 3/ wKg/7Ea|nH([%Dk6 F\⫅-!T"iEIL"6HxzBP3Ax-R,Ҍ7kV=m%9wWK']Y?M & 33кחonon~pٟPTz5^nr-39EC t>Wf|=:*N>,rȇo/'ܘ1Huܚqw7o^-KCP+N넺F\7يݰuzStPpP#BqKx pJ jWo)} zff/PҢ#;J&TGqLvɈ~kG—˥K>|d!?tU`qUWv uKjVRܚg47 ={;> Y h߯!Q@ W~ . pTA/Ү!nZ/]4y)qbxk!!?۫ S`r ےpG*ewtyN 'y\zHߴAWB6_M/ؙN!xg\-fqUljk¹ 9+_vwpYc3Yk)HF|6 r~95_yEdw[`fݹ5n)gd5h}ՔOi<-=u]io=ːgRNt};xīaˋɵQm@b lP RUk68߉@Rl B$%{b!y0Ny{ծc++Ȣ(&"ܲ"3l@^:K8`pN)_/HQAa-UҾcIJc~\Ȫo bϊdebBobB (߼ Y O,R1ˊSSz^d[[pqjADC#q&$"t Q4k9^ GZ8S$ ӓ̌S U)gB^8B77l ­Oxq'ĭjűSBq>v 2i/TP n@BzḺep y U~ݭ1Qos: 5-광$^??Dž$bo5%CazF:+-8ʐ+fXtbm'MۚW2 7J143pD)\ .5w;VVQ샼 q AmwIn"d ,y7Dͬ3P!=$72[ĿC׋2MmL88|a_mi]'aw= qAƩ>|M, *QGiъq`Q fg]/ć831*R19(5kvWԊ.LWF(k@3d|K@2NḺi^p)BZY*dÛ:t ī9wꫀ` ǟhʵC=3NrXۖr^Ro5T^ } !$cmݎmv#S;BV;(\V-.OC̵qVM ­MZ.JQ7.Cť@('6+^T$p}UǗpQF/dP(A׆BOK0~4z FSmՈw?SppCF+C:< W\fA;qF;k};vOƸIޠ{0eO:==s 7~HE, _o뇁l*+@W% n3?QcNcZY>^fcQY3PB/p]%f)d\]4&)ʓg3$'=AxF-˅82Wfsm ?_/odqIZzu(G81H2wwZY6a}2pl \0P:k3Q-qEfWD|ۇZ]3h<6`xnoas!)?w_gKgAފA~m T5>аd^8"׃UWuՔ{S*5D` zr=Y54qt6Zc~6mÈcQsmC᤬Aq#n~|륮Vd~S3)ERkm)HOmbs S^ 7(ƴLJ!_⣡dQ!go}j7M// o>xamf/uA^vb}\F|r5sjxa] $ڡ}nJYB< + a?$&@bī^ ZCn B-@  6CPFtx|nLisW^d4RҶu2E0~ ОdCFT>Ewv\wMAe0%(^v'Xu^RhQv`ɏau(,g*S׌¬,EFJV-&tG䧚/-ġc<=ܰGqSQ`{7^ۍ&)G#gˌ=Cy{7h['2<`mK89y&^[OuSC?3xQjgGcPʁvAf[0B;5_궙^% q3Ƨ.uXoY@ydfF<3#)7X+nI@~xqO{:; ﺠ"{">a8Toq8e~y{m42݈C3WA:fq:c:z0(/C/)c4Zմ)ճ!ˬs($c؆s"W|c׭k.٥`|!. ULHᵘFV~FRdT~ Cjȹ6K8 /ϛg2 x\'pYƱq=B)ڏ8f~ZƟ^?Vr){0[o Z$#zzQ9ᯋmgb N6F~ /jc*҂&w,`> )~D 8ű lmƓ쥷e#۔M6I:d`RnϯXrgS#3`F*r>A 9@f.h_Hi{ Pi+_ٴȳ.~i23/`ȡN0v|!V0ͱ29>]jk=ājCxMG8NĽ[3GX `-I]Fq21uK#*D\fSJä4ztȵTA+f0sm<{EpoHcƍܖ\:ӟoળn~2*|~_\BˈFЯ&[6S۫|!M/Mc8jIcv`xnޡRبe 8jNB2nbL lJHyBrj3jEW[p t)ay5]-.SƇK .uJ  x(aT/h! Wt)_$/ btjtK챕;ل>D8Mڔ=2nznSnO/opQf?F7Xƛ]4#YF8-lc09Sl@|C#l-7΀M֏ԖƔ9@C>.`j. \@D#A\/n@l8"Ќsh?R&tӝ<]NOTv (qevCY\Q2"1s$~6t:͗M Y)hʭM-qh{ Ǎ:?>u/g GQp嬓QZIn)-ƔmS^CF# ]1sl2lxr9ezjϨ sC['En@nz 4uk|qk%*o ,s&6\#~vC7P kP't}3 \@_#dݟ+G+zeZ0f5eāq*B{6]1 f*i_| G(A1q+:/`$h)fV^?&1Hgp~XEf}, @dG8^ú#ҀS>_Fm _Uf\q 6iߦ.86K^ p ;@eAMw+z]bf7vnulgWwʪc8~[B[1`>̣YUnH /} gWZ{ݬ(Tko w{umjylt2)NyQ /L .K_^=f NVF0,u-Vx$q5fȸqm$l*9a%>v~u@ue ɫ70wPA\'1 Wjфebyj-Uji+z0 {Ќ۬.ǂ3ҎfPHjru?>q^Iy1kϔrMd(2 "q?Q*fZ\]#կ_Dqy3XYwJG)Kޥ'׏q [Woxʺm!a;:t4^ݳN$%K brx+ ICk-Qlﲐα!j՛-xRyof#3WxC0t}3U}q&Wn^B? :Wшsw:w͌DjUh]ʾ79g7b{q{|X_bEZ#7zRC.1&PuooJK?]eǔ.ZVhdG:#8GÍ0g'S`t)Ă46"Iw.v,SumvYi|ZQ )u"E0g"^ksXC.wKi bx x'̦s '=CGx'$;\+2d 3d' 0aY@qx6K).TE r*IZ66|}@47#ߘzy+W̮&W(` 7qw |l_ZȎ?~qw?o.//'zF<Hux#"Nf\B\i`27aF?eZ^ATS%8tYgI2#5BHa{xr,tF n" ܬ^D3nJmS5CgN-{LĦ_|3#z^N/!7^~Q *DMcg2o+fKi+;c΅ 1;֚fĽ7pR5:t KCrvq3{ Nw3-. nK#kpo]NbS-'2FOJD -$WW; G!x c8ArR}Jklwzٌz3Mdf<6'T6>eN`]0z1߾P 'T@Tl# ?+zs_bo9sxϱ20;ۇǷ g)%pJߨp !4>s4q$\IARsr].#!Մa}Ŋ;ky욐enKve&(7voL0㽸m &?f+hu ;Zz?NӋ.:#!!3Rv «NohۗX41M"]'{O[k0pz '_i^Ui#6WB\%)t8NSbĿ=}4]ڐ"OKZf˰}p(6qFW aBFnyjŝoned+ /=EC^$1 -*97Y omıl* ud[M+/g' /f 92̎={$Gp(?1U ~ 2 jWifSh Gkȗ6?3sB>R] x r{}HD(Ќk׏!>v.Uʌ≠8zM_Z'u]cwD#9>GDs/@vy M#Bow^xuzE74b9i s(CP7o4-B|Efk'Ek FKĶ{&27p>t*z#l8?K)OScM|> 9aMsme8b؆q@ G6p#&աy=Z& 2,2= 6P7ӈ:!YNq(N"N7驫_s+T[.iS;-wѐnQXRÊ߲or-q̯>6(5 θ9R2W4@\ӭuFr. Q+/My,t (5C0(qO߁ G#_?72 4#k[knqpK-H_dS5$_^63,($gqMǏ:ζoky\>olAO.a )F rmaJmGqZQ-ݎ&7ohǹ[7ybhFݤ>OwX'Gl6ioq`ATaKyr!DKB<0dc:=F،-tN:eķ[8ݬ5ew >xĻz=mg[֐(c;m(֊y)zΉB/˲6$hȵ)?MT*z7[u<„dZ ay8xp 8w;LF J/9.T`Jɵ93\]('wkg1NdnWחGWݶ;z.8̰{ Z&gYRzje|{G'r\:Ǫ0_o*$ 9]NVh`m]V"N-9[r\gUnrUݡ&7-t=& F 5}08/4|rK ί EণÀrIuNt6p꺵3^+ʌZbpտ?b4/hFU i#73E'?qTidME,񤞵b--hNfI`w=oS߃xM#6; } :'[l~Y%3~%uar]H @3rP~lYeoi wEDtC//zo׳KLsQ*q#^0[by"sg`n2n坰6>$DQt:;TRƔ5WO6vkeA\^;Y3*4hp| :\r|!3obH'OB\ve.[c2[?a?ŰpJ/q3 `Nj7?O&D fҌ[ƌsZ)~P2nㆌ7Sfw1ğ6+[2u.uw>HmIbhe#nKƐwX@qo#ozS7\ĻWq/lK3n! oP!w$J|F%yTYKρ[/}NY%bi"Qѵc?#L.N&ܪ?arp؈zBm}eT`6冯hwLAi|qXu;)iğ\##z#4*u+c*_uw(:@0"n6XdzǶXB_ dKQLjLL_ Ne|-oq٭5Yf&F>woϯƈCD&INggߧڐҦL۬uiGvqCyYNp26ǐQq0/H`6^oAǟ43<}FN%pϿq t\ik;'Jc-Pz0N(y~߭iia_Vv4x}@B2XWJƚ.U`9f\+V@@r-ZȐW⭦Qw|'e#w_,%wF6=ʍC՜0/W0>EMSʭy+8>߿ۻ_.q ru ۦ6C8dӷkzJkte!NRp2nPv U~;v8E;4Ҋ,51`=_^޸(νszeW7ɉSfθ:km/8Q9S>-?ɌK9-#Yj#k0͖gKʇrۮ2(wqM#! [$xLq,-7#<u߾?7Zn)tkU&]zɉx%82>̜)į7 mzNv|b^㝷1KQP A"%3lD_5nztWE㭮;0%u$AX`okrA̓Ҿ[ /4vzuTnڔG¯![? gvccoc9ڂGM9~@ qCǖӍ)9 3nH;B Xq,]UVK|/PLܼ-a1,W\t`j{u2EqXDﬢNz;&o=θ f^+}XztGYm(>$o_l^Z,9sҵ#3.>Tq;xךۣ%?/1U 5Jӂңlz s"nOMn\ůvd|T453n y0(#~ڽQE͈u'ȂE`4,YuxSi8 r};ī A3.ryKWGC>熛ijV~`x2E~"uLmgxaVC/BZ*\Fܝ6307HM*Kfʫ^/gY'C 7Y1~<43mKQo5jb i.5l)V{`צ==PYʏ*751ˣn2Ɉw6>qv[/AeԘk7xW\/cXځ-v< :xsFP tM8el PE^.G|*nYBZpyd?V1F[HlwVjy{5FC qW7tڢV]Zu(VǤ^1nu(KR6=gR>JzozOl88ԛxKcv?Ϧ_ypb :%1'lOd=]H\O֌8oO:ͽ8ĽθN\r=w/dyX7V~۰-!x0q뉌v#m!9(?+֌F .w uI ̨ܡ<9 ڐ E84>| S[~]!p;*v):8G6HGq{ܜ3ߐ Q Yq]^iIg hnC'w} ֩GoĂCpGOsQZ( YUs DȸuYaM@\4T7kE̸j3F|Fܣ|Gi_55y6^h; ֡T#ĺv&ոaӪ}o#|*AΙss&>7njwq ߵd$^75ry`qF,n<#Yk1.˖kM$3F=nf~z]0>īto-|YZ "n!a2)wcxn1<26'yȷΐo4D<_ +_Z7.xk'k[L;'ԭG_uSƥDlu@a]9,ʭz`?ZTiZ|ǪE"93BcH-gc)֑ 0ڗ:[qqxK 514b 9Ɉ???>>C÷yrn`pٻ0L^qFγOo8LDr)Z^De@;~r|P;j>Ԗ}!FK޼\6o#ɨskf=Gd[&˖,rƹUf| %wa<^hƵ`vUg>[k{g˯ɘ;MFPVSO[ a8*#davi7f?b`tiSl؂7g@M[k96Kx*ޡw,W}uz}|K9Q#+'Ѻ7bQ!]?Jd͖vLƍ`5Yryqbf]g@zbAx qq}$Φ":^P$6˗;nNGQ7NcnKW]<^0v֕^rR}FE: 0x<93wo{$ ݿ[θyoZ82~eu=-('ƛq)h1.(/kvRj%pqP#$\}ɚ[WKxav[2 ZrЙ~5zYꬻ1"zvܚqk3>ä gr{|9ʽԊ:a.em*M%noh#>}/E4ZpMPAyDPOxҔƛ.FvYҽG1_[5I\,ƻ+TKq[ T _M ]Aa Odul)FG8b@, p;,Bs*9veğ ሸ]JF\~zҎsTxc͸:/NXnquʣR}ӭi#ۅ<r1a1_nq wO}`[ndyރ:Ӛ'xV=pu?kokĹ4>Ĉ8 ;yo iap9g H_nnŦ6৫;Z;4q0q4x+̸7+ JhS~m\iͶ.).ko.exu+&,߼QҍloOkrbr@x qڌ{ ǥMkw[TU`_x 9ʧ҆lLB!%6xELlHA*귦Ìcm6UHWxeݮ}xӳy{6wHv 9ҭv3,+_}~ ?$T6Fqf6*ݬ8|ơjn!E-M6ڌ/ b.2XǼ4$7;vrN?(rw/GD>=m8نm8KW8f3ÆWY2޶:c3x큺ZZŎ)q'NC6:>+o‚F]Np-[8 ŧ*#lva]lQV D s*kxkwʘ}~Sww23 6.c+۵/jWpj3rΌSe[ Am53~ *x$ڬ;"NpKd1ŃЭ17VA,YXy 1wvȄZ\2^l 8e«t!V\F< I "1m6azMq^|* J4Fo(r]XhۼO8ⰦJW>Cُ>^zqxTh%ξzCvv t-1`k5\.-"[qWn[l!<9MԥuKeE] :/Jf삕`̈A-ϮiA]hAy[c{²5w6S"8ti'o2#KC-4S=x۵Ux5ʸGzG$wgtNzۦ]tl5=ݮ,^^b k^`΃5ԕ: Wk53&Ν|K$>V{DqNN[3)OƐ?C9țx 5Cza OOϯ$; x֨g>a8hԻv.ώ^HW GqS|:xG{ط@o_-O?}##cihOVMn:gZ]WvU,NKoUqkƭngƍenZ Ŋl_T#W/O7LE"ߜ7Uh RV;0*c$ݲڬqd <8OVSFvADű,ڦ==2[ز]?_C'͂W0=.~=db&LJb=jBEE<\x|ՙ ]O5TQ9]s~VYBN+n͹3dPtfzmmJ~~#dxe3ޱ   A܇Gl,]+GW8T; g1L_cӖNa | u'bɏQ^:in/Zձ!PrՁlpTo2䰘,r6@W GF S1⣁Fڠ92Μh\ V.}8Gomϸ\#>^l}5WDv>Øscsxx ֖՛ܕ-ѩF@ X3$k2:F<r ^t=ڌ3k,n 䭃"+dI~ߡd"ڦyUUS6)6Fw R 97x&"<=rѠyzXv9~5[y)Z;9y(Va;/ϵT*i[5 Cf1L_Mk}LvPsu]/v)פ#^@'8/+Y 2%*i}y)Y:OЧ%剩jl~b Q((bފD̳E[l ,8ɦȫUUcU5FKW_l1bW kbQ}5] +,F~mzn k2"qi{A;jqxЙz% rxZ/2֝P$Ӯ4Ul~0P Tv4y5}W8MFەZJlE^'?/&fP.de0Έ3Kbn jk+Kxk$zW\`-^jV;DžfvދV긌 S9 ͸x/]xebźxoo@6fy}ݤMM 5r0LkM=:j 2&Z7UM!^ȇ8nmBߞm~0. ʒ?KK~nkO N7`}:!A mX=2ˮf~~L 3.RJo6_l36em,{뿄 3]T_7/^^+B&:Pu  F !L[I nƃȉi$I@0>51R'׷ sތUrŀ$>ZP; 5 h,#AG !Vo(xCܘ`ҝ'˒hk 4 "W3'q'p3VLM ﺣ>42;H! "NoLj^5H6ib+*7zMGK,F+>H/ߝ]fRND9v qu:qҌw^#ɨ y7wXovПY-@͇/JMw ѭrwku 4&)͢sidS#]S;\N8MI{i{3;T˛xOB^3DlŎx.H0Yh &NB|[Dݠ {?H\m!%et uO+~ }\Nki‰psEU7^1ᅈڲFZ7VSwf&g+J o}\[Hptv&8 !|3o)smIRC9Jwq{Sf\xգ̙Xr"g5FAñHf'\e=jv|C+6 l͆r$tT*Q!?O^k{8Yљ?!`k@^.ܧd/yW6:h(6>vjX żZn=e}V ❂<6gܮK6f)_6o$hl,V_$xPo{f`]l)ҪJpk!Gp]«&v ~bU>F٥z{kEԏ֬ݛvW"$6uvQ'UFdqQքxɿA\q$֋vI@rسW,C8"ֈᰨoG`AqڵiFtBcJ.˵kL9&\md=.>p ^V|G5 (7]pWlzU:_JE!\ ^\z|‹S˷+Z T)7ߐ+oZd'z,9b 1eh|hAq?qĭj[fՊ!QK1+rmpii8|t)>ٞY.( W)EV톑^ݗ]V9H`ÇQfyRdAxy1@\7-Ć[zI4_|iO'@,Ո#m 3O.킰up2p/j\3A'tɤ !bٚ ׾ *[EZ_A@< qN  MK9B;Kȳ0ПiUĄh#Ag!nGEu ր}PN49gCK3,K<^Lja܅^ .Jpqaf7 ɫ;m9/٬ \&ϋx pbܺfϕm80["߰ \ fsg~G߄|򁞀?ۇ y^S1V+着EoEExUK I uߕ ET^]ӒV5v|$F ʽsm6k{=сn%'ć]F|!NrQ\ڥ0DnDyFo$7D!nl0y c{f\C]i݈NrPor|n=fAaOVX;8|wuՎ99~x$t*>$˪Z$fG\CA>:8ZoL.MSɑߝku\;ZHC\FDQVs6F3 :t==.|;3dRIY2jT}|6f"vb h}ohQ^qC JJ5Ӿ8ʌmqƋ>5İ;:Ƹ2H6x3j%N{>OɄx#ma!5/a7Qwuj6&W3d*=kE#`k!B; "ҔL+5$RZiJ+a_.ɌauN%|0KAcʇGw)nS?h/'}tP8kM]܋嵥=37oGJ[FRCBn\v}8yf`G;:+~NȂoc .GFmfrN/ ,\\4c&\ JENM/wZԌxQRK':dža7oNړo b9!^ݏ)_D OeEw׀ Ep&oN }tf0vv f2t( Gcet>R0nxwIQKfD~~@ߒO+S;4Ʒ!ia[1^(ۣjjT~-"8x*Gۺ<Ò{: IgL|2Zqxq\lw-1AF!EӨt,rK7 Hz>boH8UnX/wHe]%٧l JK=̧Sx3v|cN"EpqLXƝ#c{=c,47ic<׶t.g4e#^ x[2fۃi(v3l^=5\96{&;!>F6m?x$qty~HZdj--o7Rj4]k. W3l8kxLJm}$|E"{uԛfWnӮ6-~kJ6 46J~&X~tv͹?d@JLI^P!`)8fCZ Q.Axof:P}J&!.̸f!Zth`5b}0N  ;F^H=U8J‡wi&ۗG[=>sHiB&K.ĹY@tn.: ڮH b&S Zx`ΓS.Ac[\ɻL79l}!4g΄%mp1V%=uG-=LS:#&u'HRE,-#{% p;ͫ㨋 D:< Í( k]ipw.HTC/2)Myt'|nsaV(>nK yغj96*\mg"N + ڌ@~h(;m:D:']8[őF )_3G`M#l-糧umR/Lx)pSAQyաnO&urS'[r߫:8CKnm s!οZ]$}{TN$!W ZL~p6hsu7,=X66j9vJj[99 #.6NP4$c|/lqbfw!'tTt:3; <ٌg zqX,ďLd}?u+"#I m\hol`N`I1%7fGfu=`͖hp̪zE ?]7/ = j{}u 7*v˷%WBFv@.o&WB6)]o) m soa[ .l3u#/ϯzw:DB>:6Nk#>2Zh3\{JO"3|Zi`7 K^4.DSܵ})_w坱Xo-T 91WosZEܬRl&WRK#.򛮈V‘:t~O89v\vB Ev`yt')H9[ ytjD'`8.&<&:O KeR3x-HA<' ov& 61w"n51!Wqi%q~-}[^ "x BkvwaHMcqmcut!һAcf_Xu.[f8COAr,[c7$puX\@ /hpt[!>n0ƥ2{6ozo)bƹq/t04;qīUxmD\7N˳Enk<2VJvA֮-Kz(fkduG' sg0o1›N:ݭ9S0V36FE!H;.nR?om5sÙq8SruPIk{ `=킱P>PȲXYz0Ǎ$<)]TMc\!M.9"'vcz1ƸXi==i5FlL^&%mrBƇ8H>WX(;>̞;z6ʹ&gxJp)#@*k8\;";I$"6Tk6Y%}t -m|ă\"e0.ZΥ1xÛnsw,[Q' wOa<=wnvtmxYq~;Y#^)#G&3p}6[- thj/!F^PaknE`  A+ǫ~z͛RmRK ZUY+,mMYu/AY>W-Ga2T[q&hYD _`8e 7 x?ڈ,]oe"lƄ|xoWJ\e;9=@\]MH'xiTzT(B~"TI ^4=\NF\oش Q,xxǼ?n{^JJ?@4RYR8O团١v |/?A.-8ny6h#1[L]1>6{ 3ށrt$xL+&2m5ZT7CNzi7= 1kO6uO b9z#>h7uk/Ե/8Ulj;~̈7 !lGp݆u7yxWiRÈ^/aKƈe{!WIeWgH;Ba1 cc ګ(4\T)bCoi4ѰY( " 9WCī҈kē!u ߺE&Rb8@;kY9$6Niz7}ȱyaS"-JQirEm* x0k ^!^ZEw -|Ͳ,ģSz%!&m /Wb.~Np6P9 q/͠٨KY"8#\va ck9>@p7mf7wU ݥ|O87uzϩCKWUw!x8!.OQ=.xٌ; 7Bz)QIv7nͱ/f91+›p7gi5{v6b +9UDuWl!N=ƈ' h&55j#/P;^RFĿԣ.HAC78"NH.;vd<F焸F\}glڂSn_;E{hIIZX[M+3uC5ypÑW$Ix+xd@#>pǽ rMebƭ@CZN"F!.p^n&DwS d9\{|]swkAz=C4 ."&j"M "j X*AJ*jjNoˡ Q%=Gg-CRR^8/#F<Cq6BLK˻4!4Dž pd•N2M SДRinԘU15/TՏ T̈4*r21#Hm#7h,Ax/ˍ͸򗸤9\ا]䪮'K%=d8xfo;QƹF(hg/u::^FQe-c a'A.!]i]-CLfP_<\*Xon)mAs/8Vrzߝ@<`62Mb%ܿ3x+x%DcPHVcnZܻhP8wMx!UM7vZu0. x[RfEqB/6* W/'%J Sk+= gV7HT2ш9ݮƷ /m j1TTFdFj,:3B&W } y@gWi֛x݉TڔR۽n{!v_8/o·auzWBu^ϣKNq\%Xx:4~X H\//g0~F~z3:PL[67 u:֦jyX#nUql4ܵLq߉&ﵺQV.#o-Əq 8p_K94 Ƌ@s݌)5ml-vAH[DUoFC\ F쉢p8kMOɶ∷yQۃ^<9/kVRfƒ@0U'nPUM{.FYƸ?hcC3N?z)^m\[S8^5 Ō3^ѕTA12'{>8q?BmoJ)^q{R7Dr'*!FA܍60n" (E|6M e,)ΊxiRt+j'| urh?{K gqǻ8 ⬥ #E쩻0>[AܬY}"2K5͝2ASĻ0ě#^6mPɺ ьmP :-"/o-P!qE7|jK\>|Y ,l3YYf:"fw$KWzUJ8̪j _!1viZb$r'!<G4HCܙ!+&UsA qM8hyB7{ciWxHd1aD-7 M Ǖx41CSZ/@|#&c5:P2iD 2K'}tv5Lt@ή:};s+uԿۅpC-ċws=ũÖtL2;R[r8Kc1HVI31nΛp: .w+ԳۊqtBƕ\cF^/(I!NJE MrӍ32e}MB#F" 1*M wp5 cT3Eg1Ԃ-j(݇o"]@$vm֥0Ʃ@Tk4S63E9 lLZUo` vamlM!E1_>S_,R"<fΦ"sS -dQ4v x,MO8Nq,[|'e6ҽYeW-{.Ոvqj\ 3p[x/Q_DSvmc%s#6RI GÖՁ|E)U?&mE|vď"%h 9GtCMՐxfzyq(4g{{7K?|]ĿQ Oj,oqkx 2ːM] 0xyS(w˜ᲸW['_u*ܫyv̈́bL۫[]Icc6! #|Eh֎JT~hD{/.t. 1CPcF-3>EYXQ)Y J{% pwpF 6đL}3Ox UwD|H8B=T:'ï`BqyrqT^\VK_/8ӋU-1O쑣lpŷ:j^љр f(cԳ|ՕthHM1.pUo*D >_k a&[$1LF:H? h2ov# qqW+KJυMT[e:[ķtu@~L*;|o/#΂RE2zpx[SҰ9'3W04=Xp+3쇡C8M %ăo`똑y8I2df zmrG0 3jÀ^= '!W/-|yI Mq-Ks @X/tsŋhNWN=Q Bb]m"1>å<=!A7!H!^B\]j[k95B?~ǂ[938CIzGp >qoxq}7tDl1n_BX(݉zjK#XoYm%:'gLėP)W>B87^9jI7vM7έbTOٹ _85*cB9QPvT|_fl0Lcw)'"'37li8]ƫ""1NۈwD.8]' J-Ҳˈ?%⮰UN-9hc#CNAΰѦOp÷B\S! 9}io! Ljws 5IXEwhA7ښ0jYYEJ(xLyYoՠoKkZXDz("pg,ʼnVp[cv ^ڦ ?U 2tͷB/zs寺v \s22⼎z7p#DnIv…~)x$Sh rsqsde,.{+k]ۆj>+Na_G B#BG'37Sg5֐&q*}|F8G||d2P0o"x˄!JacAyރSk4.;q7B"HMVB|Jbw')}rK 8IDAT?.!ym4qk~} =&<N\[E WIMQN"%ZQfiM0uMkġ ߙfG:ns~[SE-ݑ 9J*Cdx?K_,t~[`̿AΌFX r~x7xϊ{ yZ+C ?_,%.tHnyA~нa5""#$OWFZZ/$%˄uD /%-DS!ق9ˎ"kWy].y]c񝀙#<3z0A\g麊<&x}Aȑ*f%3]&ZX48L7c#Q9B$mLx2Q3S}.-DxMa ?|z]n+ @ɤEU76M7uUj=8["j|\4eBW?3"E?E2øo#^% mА<(c@ܚV%uSqz̀i>6q3w-ķ>6 L ~u7 S,}nvJ3벶C.W,C|(4ɉR07$la@Fm 4`7 @1C9 "3"6|sI-eoV":1IG7^ k\']Bo 7n?@xq0¿i'N;Q/Jzm, oXV͸UGAI?V]ۊi^YB/u{q _Y[Ӯ%zE}%FD+`1IW*K4~6AGoۖHol:[.߿>nzwO jVh!xaqMG' \'.vxH>=Ji??G<(-nmrBBVbKeq˅Cz-op,2lT}0^~'3س iJuӃ43;gȯQN1FG<$(6c*yLk Op[/.~k61o!I_M7k]^}Z5cZhuu0*pP@8a '\}'.LB: tb8b!:1x7K~>k+Q=q8+ ]t|,5(uCŕ >X$PHy.vaVi ye|z|Fwnq˃x/ъ  nBH{{G<;8ıXFq7ݦ \{` i!nqi=mxGZ YUFqDzNޥ ~G<~GJ*xȣLNA#޴Ӈiy:MwrU~=p:ң5`h?cɊqԛx-ÍU|"ʐVCjDBe5r.YK[|@wq2A|5k_G-y]ĝu&^#cI%p1ؒFxmA's8f3tqfM4MZEpv(=8 i*xprs/1ĉ-0.!U!Nx`$"NGa< LPkDs3@34qslK7ydL˵=,-Xh} 퇝7075XC!=D],xǜt8VSV=jFT;?Bpۧ6 MB\+j2=Et&ӫQ3#BjI+ׄOwB1sl%Lek)texGVؽt D8[\xUF 'rRa-M%v% %W G<ˈo߬v1#jSz@}B^poA߷!n W~)sW%p /.=eAȐx_bӱD2 [gHo 7#{n߸ÂJoC\/t#"mV!H)op4" "܎S@8ϘG+N];B)3ϸT?شLs:M$[Ȓ|r(!,A l"x$Tq=d [)Y#~YP3ǺCBOЀg2q ̞G]χ ma :/w; o F3ΖC-ЕK ʒ+j3q06&&&o 7#\|n;P+98FKO (;~A8RI=G b= J$+\ q? f> xIz"׶ukQIKqEA` TH?IG VeX)%NP#Ov>"~̝8X{;`r<lF6֡FG|.71 t=wDVuUwR)yp._S!>^MUA&A|bӉ;P~ 7mf9CnEg0.FSk hˮ'I;a}l>o=LcnL@?:B\~m$zC9ܡGB|h=M}#";tINvq{;Y;FpEf_yįCy:f|o/Oq;yW|*m0ҁ1\#U!>hO >0&F B ^(Wz$$#^ ' Tˍ! n!{~9~! q{_$O7!IaCzy:Ġ[tj刏'>q3)t|5#A("q2ǃ;N8qy[fNirz>xk4<Rsnoy!n􅆺hUSsiNx4Nooo6,U7w芸)[W:a]>R~խ6=]~ndݏve? |B 7 OnpqxS;3zY:wOLj!k˲QOV{o+ɻ  @OMxB| i .Qa\aryqO&o g{y6ø|a">zq&~ ŧo~G׵Iq 4"3.<|cJOg㩼Wm<l~>wR4EI?pݶH bOgO&ď;jCmuHtxgTLc\a '\?h/;UZeѼgwqawmR\0/u{#V e|f ZB-vGu[8,–mߒIz=-+Hq xB<`⦉/kį`LEXi>v4kt"\p4fx m'2pSVwm?=(yC00ػN=pŁ~ڽ^/CP- J/!a7g^꙳@8âDGG;Njgo"a|<ڻ3#!SF6lV4S ,⣄8zha6B_|*qͯcK6&Z1E0h8n#|Xv݆/oW#g[͑2uEa kq=aԊT? Cńs >˔_] x!lҴS . "+oF_Be̹ڗ6J\dk q7a[[yX .3g<}׈7teƘzUMb ~fЅs"slMw}<F{QKM۟EUf><Ϝro/Pob?XchwnoC}!ҍO$Eш 7T15^Qz/7=wSҵøByFf!D|@l6@WpxHI t{*3yj#1Ej/FrK8C9=(gP4rcS%· IyӣL;)Ƨ܎*477Qb j]tm">bo013;׭7cF(*2&Ϟs__A]Akr0t&D5yD2XYpj+M嵯<(RK#qû4ۡ)X?#5!ZwM?q߬|bc~)DqcZP$d+ȅwFjȮa$/$Otq=_G19I瀯EP.1NZ": gӭVMUMwgs'-"8NZ ~kJO8Gs+1qY 벱}:?nL;]b/;37]|'H.B|v@'F'oTh2 (A7vlW&n ȅ@Gxwo7\5|G\qhqg5Y"LN#5}KqcsnFWf M8G\ߘ)Jy!4v.CcN[Y6,]7fs+F7Z-#CW n#W!ICDmT[uO{?J;]1c| iCMz^m~u }}m 8H"[133f!967/^Br!No趉߽{5ltE+CxFwG"\>mۊ7W ~﩮1S!Uu5Xz_<bo =&I@ȽUZ,aGd0r5lXxnP6Q.+Ɇ ⴉVP^ 9'Wh+VMFò1%?3z!Ꮟ+!ngc&%ijM>Uέ[Zccrc[M ]]SRxU];[b zܦ ]q63B&q3c?J줛{@D|#ϣF$0~Wg ?q x~7jCb21}C;ǹl?S][[ckm+}l4z=[c*Mʨ"e82^lW{ !\yn"4Cl Ѧ*" <᏾_ߛ:̾7qwy=v<9yF;8cMPaUsW!)~S[~1>x]!Kft5.@xaMG!gB'$uy|<ӵxQeIOr_My  }"6 DSq80FS)8CM猪V[<f(|x[ĝَ.*F /cfK0zp8d.9ߊǵc0qqn?-\' 05F#k]7i]6T'_+(ǿk3%|44뤒X|3<] Eyz]A\ W ц#qadf( LC#l]uq3ڎ/5hwöՆ B/MrQtt}6&| ~]l {' '^'$#C)#^zm`OdWuN~=5Z} ?JfpD\H6qzĭjh_>-߆pU,5MZoq^> 'VJ!G ]9pUtBx!$']&<_CH{8\!…~ /P?}E.k>#j"lq~[E?iWW-Nw{\nՅA1ppv 5>Su^ N%S"n.g g/G\ ],Wp%~:k8LS8TމlzW ǟ:8M+}{D$h,UG#(L?1DY9fBV;!GW鳍58NfCg|Vcx! CZf"lZ?h_M.!t#!/nȣon#tf 'Aqs{bTa* e9=HywMVRk L8~4`x WS .e6 ⪝>stxsKxv?N`i$i- KX#EsB7JqJ%zMϿF۳]تyGԫW[M33!Qpe6Y@8j&Iq L7?8р/' plo"\}CE^.8;@< 'j'sbxmW\ЮWTyv$E]O+GKuqK5P>ٶ #{+ġ|;G|0@ ͯ$Qbӑw$%9lYQCdE%q4dA'6{a!^ez‹tlqV1W[Հgx#NZ2y g`]7~53$/ZI5^]܉%3K;k!\_Ûd>G )'\D< nD-ͥ8 -6w R8VǏ qb0/6?sVYܑm!yEEI$GK(70P^UC Ǔ avpDh y^V^T FZeQ{l 8Am}x2<[fC0ݍRs蒻Hr|T˴w BQi.p Mu9؜8s/Z?}E;/A0ȳ Nw8Răm04D /vs}ɰS] Uxp9oDEK.l Kawx"0^@V`zt9M=.U p4nD(N5VW[CDZс'gfJ#=<<%s) wwpaT#̕ ]Y>G8 A\ oowzq<Iqq#l`#L_ʈc(MBi0G| *q%4GmepKo1ʑQTf3Ĺ ]w)e[yJ-70SMr} nL"u?aBi l o9_x/jb-xE#P)VAew/+#$a܁îю֤ПgD&!p?@ Wa-w'lA$9xW-N3d  ~*%; ۧ6?O{X?]#!'wts>Ec/gmMqy׈/(Wč|~OKKO+yҥY:eNBkfݘhkƤe قMI!PXUP)yh!HI%})"eC}CRBiJQ m-l9sl 0rgܯab!B4RG؟=#(HE,gӢ]<FOl3gg!^Lc׺G'Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0l"DVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"* 5-P D(  DN D C &Amgolfo`  D 681~"`0n  8 Geophysical flows: satellite velocity data D8,3f  D BU1~ D Applications } D 64 1~"` pK Function M computed from satellite velocity data measured at the Gulf stream (Image courtesy of Carolina Mendoza). The day is and integrations are performed along a t interval (-10, 10)4X D 0P   X  D 0 X X  D 0  8 @ X  D 0 @ `  D s *"` X H D 0@޽h ? 33___PPT10u..H +D=' = @B +rشQ))? [QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngs+-t\0tz[ 0l"DVerdanas+-t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xppp0 <4dddd 0`+- <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r)? sQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"K0 (    6 ~"`L * EGU General Assembly 2009 Vienna 19-24 April Distinguished trajectories and the Lagrangian structure of geophysical flows Ana M. Mancho & JA Jimnez Madrid1 Instituto de Ciencias Matemticas, CSIC 1 Now at Cambridge University,$ff3fM3f" - v- $ 4  )  |A .logcsich_rgb72_200x296` ( ~H  0@޽h ? 3380___PPT10.MDxrm? 3QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xZppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"2  @ &(  [   6t~"`]   Periodic Dynamical Systems Periodic orbits are an essential tool for the geometrical description of periodic flows. Periodic orbits are fixed points of the Poincar map This solution is obtained perturbatively from the fixed point solution x=(0,0). 3fa ,**  6~8  I x1= x2 x2= x1-x13 + e sin t xperiodic= -e/2 (sin t, cos t) + O( e3) J0G___CKCKCKCKCKKCCCCCKCCCCCC CCKC___.!      Bš~2  k.20G    BDʡ~] }  k.20G    BΡ~0  PPeriodic Dynamical SystemsH  0@޽h ? 3380___PPT10.H  `(    6~"`0`  Generalized fixed points There exist examples of trajectories in time dependent linear systems that generalize the concept of fixed point. 1D example All trajectories asymptotically tend to the solution xp in plus infinity time. This fits into the idea of generalized fixed point. We attempt to provide a unique definition that includes solutions such as fixed points, periodic orbits and this particular solution. 3ft 3f<aiN3f  B~ q, PGeneralized fixed points`  c $A ?? '  H  0@޽h ? 33___PPT10i.H +D=' = @B +ro163?? KEQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xZppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r'F? FxcQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0xZppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"rc? cQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0Zppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"2 91P D(  DN D C &Amgolfo`  D 6d*"`0n  8 Geophysical flows: satellite velocity data D8,3f  D BP* D Applications } D 6$*"` pK Function M computed from satellite velocity data measured at the Gulf stream (Image courtesy of Carolina Mendoza). The day is and integrations are performed along a t interval (-10, 10)4 D 0P   ,$@ 0  D 0 X ,$@ 0  D 0  8 @ ,$@ 0  D 0 @ ,$D 0  D s *"` X ,$@ 0H D 0@޽h ? 33  ___PPT10y ..H +DA ' = @B D ' = @BA?%,( < +O%,( < +D3 ' =%(D ' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B'blinds(horizontal)*<3<*DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* D+ 0$(  $ $ 6$l~"`0  Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories organize the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. To appear in Chaos $ 3f# T3<W cU 0r $ Bl~ C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +r1BQ"?  QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0Zppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"  !0$(  $ $ 6$l~"`0 H Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories seem to be important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. To appear in Chaos $  3f# T3<W iU 0 $ Bl~ C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +rB3"? EQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0Zppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r)? ]QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"- 4,P D(  DN D C &Amgolfo`  D 6d*"`0n  8 Geophysical flows: satellite velocity data D8,3f  D BP* D Applications x D 6$*"`   (Image courtesy of Carolina Mendoza). Function M at the Gulf stream at 20th November 2002. Integrations are performed along a t interval (-10, 10)P' W D 0P   ,$@ 0  D 0 X ,$@ 0  D 0  8 @ ,$@ 0  D 0 @ ,$D 0  D s *"` X ,$@ 0H D 0@޽h ? 33  ___PPT10y ..H +DA ' = @B D ' = @BA?%,( < +O%,( < +D3 ' =%(D ' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B'blinds(horizontal)*<3<*DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* D+rQW)? /QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"S ZRP D(  DN D C &Amgolfo`  D 6d*"`0n  8 Geophysical flows: satellite velocity data D8,3f  D BP* D Applications  D 6$*"`  * (Image courtesy of Carolina Mendoza). Function M at the Gulf stream on the 20th November 2002. Integrations are performed along a t interval (-10, 10)P' [MM D 0P   ,$@ 0  D 0 X ,$@ 0  D 0  8 @ ,$@ 0  D 0 @ ,$D 0  D s *"` X ,$@ 0H D 0@޽h ? 33  ___PPT10y ..H +DA ' = @B D ' = @BA?%,( < +O%,( < +D3 ' =%(D ' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B'blinds(horizontal)*<3<*DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* D+r/QM)? /tbQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"  #0$(  $ $ 6$l~"`0 J Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories seem to be important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. To appear in Chaos $ 3f# T3<W U 0 $ Bl~ C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +rbB"? bQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"rQ"? -QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 ****   ..        n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"8 ?7P D(  DN D C &Amgolfo`  D 6d*"`0n  8 Geophysical flows: satellite velocity data D8,3f  D BP* D Applications  D 6$*"`   (Image courtesy of Carolina Mendoza). Function M at the Gulf stream on the 20th November 2002. Locates hyperbolic and non hyperbolic points at a glance4' r D 0P   ,$@ 0  D 0 X ,$@ 0  D 0  8 @ ,$@ 0  D 0 @ ,$D 0  D s *"` X ,$@ 0H D 0@޽h ? 33  ___PPT10y ..H +DA ' = @B D ' = @BA?%,( < +O%,( < +D3 ' =%(D ' =%(DG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-6B'blinds(horizontal)*<3<*DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* DDG' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* D%(D' =-6B'blinds(horizontal)*<3<* D+  0$(  $ $ 6$l~"`0 2 Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories are important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. To appear in Chaos $ 3f#  T3*W >U 0 $ Bl~ C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +r֤BgQ')? cQI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r)? QI(`x/   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsD,*t\0tz[ 0lDVerdanasD,*t\0tz[ 0l" DTimes New Romant\0tz[ 0l0DSymbolew Romant\0tz[ 0lR@DWingdingsRomant\0tz[ 0lR@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKdz[ 0X>ppp0 <4dddd 0,* <4!d!d< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r,)? }QI(`L   Root EntrydO)ЩV=PicturespCurrent UserPSummaryInformation(\O      !"#$%&'()*+,-./012345>?@ABCDEFGHIJKNMOPQRSTUVWXYZ[\]^_`abcdefghijklmnqprstuvwxyz{|}~=o      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~     <d !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abfghijklmnopqrstuvwxyz{|}~ tiva 8@ _PID_HLINKSAxhttp://arxiv.org/abs/0806.1155(_Ana Maria ManchoAna Maria Mancho21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"! 0 @T1(  T T N2Y t t @7  Y  n*  X,,XX T Nt t t y 7 Y  p*  X,,XXd T c $ ?  Y M T N@Y t t  y Y  kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  T TlLY t t @K  Y  n*  X,,XX  T T GY t t y K Y  p*  X,,XXH T 09gĖ ? 3380___PPT10.M@  0$(  $ $ 6wK "`0 8 Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories are important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. Chaos $ 3f#  T'<W >U 0 $ BK  C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +r7B+>"? -EQI(`L   8Ec``````````````````````````````````````````````````````Ἴ¼¼ݼݼݼݼ¼ݼ»``````````````````````````````````````````````````````````````````````````````````ݼݼἼܼݼ»ݻܼ¼ܼݼܵ``````````````````````````````````````````````````````````````````````````````````ܼ¼Ἴܼݼܼܼݼ¼ݻܼ¼ݼܼ¼m``````````````````````````````````````````````````````````````````````````````````ܼݻݼݼݼ¼ܼܼݼܼܼݼܼ¼µ``````````````````````````````````````````````````````````````````````````````````¼¼ܼݼ¼ݻ⻍fagafaaggfgaggffgggafggfgfffggfafagagffaafgfgaggfgfagafuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"  !0$(  $ $ 6wK "`0 H Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for vector fields of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories are important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. Chaos 19, 013111 (2009 $ 3f#  T7<W >U 0 $ BK  C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +rqEBb"? MEiQI(`L   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$ *f '%2d@52$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ$$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"rj"? iaQI(`L   )Ip\a)/;:\o r%şJbC݃^tc%lZR- m:'ٌi_q3 j|y?M;~~a9m5t#ɥ/5Zѥ5=WkHZn T^QQ.} ue@]ގ{+5y4|ZwoxS)N^5Qn]Y#wOC /'}\=zFr{ʵ:=c~&#g=Cٌ7ޏ?^Tq?$}]}d#gSY"sVmuJu]x1߯f^#ِYǴ ǪZ4!Ko|ģuӔ9lS?x=KFTS2N\֪v*_wP"\ԜzN ó97*~{pIğ1^l5_fu0}cc}XX.xG[as xE;V3:攆ybns_+%#"uu) <^yPg܏K'djԖgIˠϔAѦfz,i߅d}2^ЁDEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'$2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S2$^~p v.f2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"K0 $(    6Z"`L 8 EGU General Assembly 2009 Vienna 19-24 April Distinguished trajectories and the Lagrangian structure of geophysical flows Ana M. Mancho & JA Jimnez Madrid1 Instituto de Ciencias Matemticas, CSIC 1 Now at Cambridge University,$ff3fM3f" -  v- $ 4  )  |A .logcsich_rgb72_200x296` ( H  0@޽h ? 3380___PPT10.MDxu  u(    B.:  D Applications H  6/: "`0l @ Periodic Duffing Equation Hyperbolic Periodic Trajectory V@3f$c 0`  c $A ??@8P `  c $A! ?? ~Y    B8: 8N  Structure of M for increasing t` ccccJ   C "A fig5 2H  0@޽h ? 3380___PPT10.H   0$(  $ $ 6N"`0 ; Conclusions A definition of Distinguished trajectory has been proposed which recovers fixed points of autonomous systems, periodic orbits of periodically forced systems This definition is useful to compute DT which are not hyperbolic The definition is proposed for dynamical systems of general dimension n When applied to highly chaotic and aperiodic vector fields the definition is useful to compute trajectories that held the property of being distinguished in a certain time interval. These trajectories are important for the geometrical description of the flow. More details JAJ Madrid, AM Mancho. Distinguished trajectories in time dependent vector fields. http://arXiv.org/abs/0806.1155. Chaos 19, 013111 (2009) ( 3f'  T8*[ >U 0 $ BP C Conclusions H $ 0@޽h ? 33___PPT10i.H +D=' = @B +2"xX}l;{fw1IƜmH/Zl`E(PqQ.>cŮ ZUtiT%ȡT!BU?HVQTU jr#J9p&MT{3ͼyw.7yk̬>ILW73;;+gۗ=BڠH~*ܶ0 -1$.=Ě~/5'""v>H-ȧl`fn(Qa}0<Sru_(jR0 {g@P>ƕ/A@eA瞝n?~+ai__ǹRm^qҞVR@%J=X/[Ѕ7?N}[F/ffqm_qP wzz?P(W,GAY;+QjQV܋rj5(u((Ei@Y҈dJ3J (|% &lF Q<06V}_F92@:=Sn0\4n;~21U 523u1;mNZuZZ\m;\[q;i *Ik{xɻ6׉E7쯷U>C@}#ixދ/"F\ǣH>"ˑ|#LDtWsdfο|J4u13u0x񗃏ķG漋4'hiǖs?%0~p' e ت͖jwj_?a',u wŹ rI㯫IJy<{[C;ړ3^;Tc!#V4,2VthFKZ#{x,XH Wt禒߅]q}V8jdN9m)~PẔk|j>pX7,_V(Q}JhA"~\C-Rܐxsξ>a \}gˬk{K&O|Ժ)M[7+.tO:yfRmNe{hUhWƏXZFq/TcgӞAoTqLśK8Xmɱ2N, E#"5yly\4~%Yzz|^1d>Ic@SIo_q޿s w_&^a^A*sR _cG>8JvJ&] C~ }Gxo.wl.hGgm8;OMp~%v\-@HvvqE.&"/ sBHㇻ8r(=B7G<"? qvQI(`L    8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n; N PBEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B" %`(  K  6A" "`0   Generalized fixed points There exist examples of trajectories in time dependent linear systems that generalize the concept of fixed point. 1D example All trajectories asymptotically tend to the solution xp in plus infinity time. This fits into the idea of generalized fixed point. We attempt to provide a unique gneral definition that encompasses solutions such as fixed points, periodic orbits and this particular solution. 3ft 3f<aiN3f>m P  Btm q, PGeneralized fixed points`  c $A ?? '  H  0@޽h ? 33___PPT10i.H +D=' = @B + h`0(  0 0 B:  D Applications  0 6: "`0 ) A 3D extension of the Duffing Equation D)(3f L 0 C $A fig18tx*` 0 c $A  ??$J  ` 0 c $A ?? G  0 Bȟ:  EComputational DHTH 0 0@޽h ? 3380___PPT10.H 2"xX}l;{fw1IƜmH/Zl`E(PqQ.>cŮ ZUtiT%ȡT!BU?HVQTU jr#J9p&MT{3ͼyw.7yk̬>ILW73;;+gۗ=BڠH~*ܶ0 -1$.=Ě~/5'""v>H-ȧl`fn(Qa}0<Sru_(jR0 {g@P>ƕ/A@eA瞝n?~+ai__ǹRm^qҞVR@%J=X/[Ѕ7?N}[F/ffqm_qP wzz?P(W,GAY;+QjQV܋rj5(u((Ei@Y҈dJ3J (|% &lF Q<06V}_F92@:=Sn0\4n;~21U 523u1;mNZuZZ\m;\[q;i *Ik{xɻ6׉E7쯷U>C@}#ixދ/"F\ǣH>"ˑ|#LDtWsdfο|J4u13u0x񗃏ķG漋4'hiǖs?%0~p' e ت͖jwj_?a',u wŹ rI㯫IJy<{[C;ړ3^;Tc!#V4,2VthFKZ#{x,XH Wt禒߅]q}V8jdN9m)~PẔk|j>pX7,_V(Q}JhA"~\C-Rܐxsξ>a \}gˬk{K&O|Ժ)M[7+.tO:yfRmNe{hUhWƏXZFq/TcgӞAoTqLśK8Xmɱ2N, E#"5yly\4~%Yzz|^1d>Ic@SIo_q޿s w_&^a^A*sR _cG>8JvJ&] C~ }Gxo.wl.hGgm8;OMp~%v\-@HvvqE.&"/ sBHㇻ8xX_h[Uιm{[mv=\'Ͳ:S V*Z٠ɞY;MnmSĖn!>ɿ/|QPS}Pݛ@(Xll{ '@DNUKvsadXCw]OęL%ɳ=|q)L̎ME'd"sZ<2nE]ʩ@_?;[%% /&GW!t)֒-8oCrXPQfD wFLo]q,ޢB({׽Z3U#[貙kF-^2ۇySDiHԝ̰:CptyS6ٶx4ApYFz) H;G{dpOأԈ ć<<Ơ +a,2a/(ɟ05\@Wo-I~=d,IHlخ F,0f`Ћj/ 4VV@W.{V;m]}o Vu1F{<Ú/J%뾬a%#o揲b>bBe$vKt_n=&+}^GRI|L>V+2u5Ta [tCP>-$TuM])e.B}'p0 *M}>Z9Xz~}[xQIUvnsM>Ga<,u-N>Ka<~Kaʭ]1xw0SByl\Fk'u_G9jDŜr(ʾ3D1G1Kk? QI(`L    8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"  `(  :  6A" "`0   Generalized fixed points There exist examples of trajectories in time dependent linear systems that generalize the concept of fixed point. 1D example All trajectories asymptotically tend to the solution xp in plus infinity time. This fits into the idea of generalized fixed point. We attempt to provide a unique general definition that encompasses solutions such as fixed points, periodic orbits and this particular solution. 3ft 3f<aiN3f,mm  Btm q, PGeneralized fixed points`  c $A ?? '  H  0@޽h ? 33___PPT10i.H +D=' = @B +2"xX}l;{fw1IƜmH/Zl`E(PqQ.>cŮ ZUtiT%ȡT!BU?HVQTU jr#J9p&MT{3ͼyw.7yk̬>ILW73;;+gۗ=BڠH~*ܶ0 -1$.=Ě~/5'""v>H-ȧl`fn(Qa}0<Sru_(jR0 {g@P>ƕ/A@eA瞝n?~+ai__ǹRm^qҞVR@%J=X/[Ѕ7?N}[F/ffqm_qP wzz?P(W,GAY;+QjQV܋rj5(u((Ei@Y҈dJ3J (|% &lF Q<06V}_F92@:=Sn0\4n;~21U 523u1;mNZuZZ\m;\[q;i *Ik{xɻ6׉E7쯷U>C@}#ixދ/"F\ǣH>"ˑ|#LDtWsdfο|J4u13u0x񗃏ķG漋4'hiǖs?%0~p' e ت͖jwj_?a',u wŹ rI㯫IJy<{[C;ړ3^;Tc!#V4,2VthFKZ#{x,XH Wt禒߅]q}V8jdN9m)~PẔk|j>pX7,_V(Q}JhA"~\C-Rܐxsξ>a \}gˬk{K&O|Ժ)M[7+.tO:yfRmNe{hUhWƏXZFq/TcgӞAoTqLśK8Xmɱ2N, E#"5yly\4~%Yzz|^1d>Ic@SIo_q޿s w_&^a^A*sR _cG>8JvJ&] C~ }Gxo.wl.hGgm8;OMp~%v\-@HvvqE.&"/ sBHㇻ8xX_h[Uιm{[mv=\'Ͳ:S V*Z٠ɞY;MnmSĖn!>ɿ/|QPS}Pݛ@(Xll{ '@DNUKvsadXCw]OęL%ɳ=|q)L̎ME'd"sZ<2nE]ʩ@_?;[%% /&GW!t)֒-8oCrXPQfD wFLo]q,ޢB({׽Z3U#[貙kF-^2ۇySDiHԝ̰:CptyS6ٶx4ApYFz) H;G{dpOأԈ ć<<Ơ +a,2a/(ɟ05\@Wo-I~=d,IHlخ F,0f`Ћj/ 4VV@W.{V;m]}o Vu1F{<Ú/J%뾬a%#o揲b>bBe$vKt_n=&+}^GRI|L>V+2u5Ta [tCP>-$TuM])e.B}'p0 *M}>Z9Xz~}[xQIUvnsM>Ga<,u-N>Ka<~Kaʭ]1xw0SByl\Fk'u_G9jDŜr 33G8Kr ? %QI(`L    8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsps0z[ 0DVerdanasps0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0Hs <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"  `(  7  6A" "`0   Generalized fixed points There exist examples of trajectories in time dependent linear systems that generalize the concept of fixed point. 1D example All trajectories asymptotically tend to the solution xp in plus infinity time. This fits into the idea of generalized fixed point. We attempt to provide a unique general definition that contains solutions such as fixed points, periodic orbits and this particular solution. 3ft 3f<aiN3f,P  Btm q, PGeneralized fixed points`  c $A ?? '  H  0@޽h ? 33___PPT10i.H +D=' = @B +2"xX}l;{fw1IƜmH/Zl`E(PqQ.>cŮ ZUtiT%ȡT!BU?HVQTU jr#J9p&MT{3ͼyw.7yk̬>ILW73;;+gۗ=BڠH~*ܶ0 -1$.=Ě~/5'""v>H-ȧl`fn(Qa}0<Sru_(jR0 {g@P>ƕ/A@eA瞝n?~+ai__ǹRm^qҞVR@%J=X/[Ѕ7?N}[F/ffqm_qP wzz?P(W,GAY;+QjQV܋rj5(u((Ei@Y҈dJ3J (|% &lF Q<06V}_F92@:=Sn0\4n;~21U 523u1;mNZuZZ\m;\[q;i *Ik{xɻ6׉E7쯷U>C@}#ixދ/"F\ǣH>"ˑ|#LDtWsdfο|J4u13u0x񗃏ķG漋4'hiǖs?%0~p' e ت͖jwj_?a',u wŹ rI㯫IJy<{[C;ړ3^;Tc!#V4,2VthFKZ#{x,XH Wt禒߅]q}V8jdN9m)~PẔk|j>pX7,_V(Q}JhA"~\C-Rܐxsξ>a \}gˬk{K&O|Ժ)M[7+.tO:yfRmNe{hUhWƏXZFq/TcgӞAoTqLśK8Xmɱ2N, E#"5yly\4~%Yzz|^1d>Ic@SIo_q޿s w_&^a^A*sR _cG>8JvJ&] C~ }Gxo.wl.hGgm8;OMp~%v\-@HvvqE.&"/ sBHㇻ8xX_h[Uιm{[mv=\'Ͳ:S V*Z٠ɞY;MnmSĖn!>ɿ/|QPS}Pݛ@(Xll{ '@DNUKvsadXCw]OęL%ɳ=|q)L̎ME'd"sZ<2nE]ʩ@_?;[%% /&GW!t)֒-8oCrXPQfD wFLo]q,ޢB({׽Z3U#[貙kF-^2ۇySDiHԝ̰:CptyS6ٶx4ApYFz) H;G{dpOأԈ ć<<Ơ +a,2a/(ɟ05\@Wo-I~=d,IHlخ F,0f`Ћj/ 4VV@W.{V;m]}o Vu1F{<Ú/J%뾬a%#o揲b>bBe$vKt_n=&+}^GRI|L>V+2u5Ta [tCP>-$TuM])e.B}'p0 *M}>Z9Xz~}[xQIUvnsM>Ga<,u-N>Ka<~Kaʭ]1xw0SByl\Fk'u_G9jDŜr %32CG4IKnQ? %VQI(`L   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsr0z[ 0DVerdanasr0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0r <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"K0 TL(    6\"`L h SIAM Conference on Applications of Dynamical Systems Snowbird, Utah 17-21 May 2009 Distinguished trajectories and the Lagrangian structure of geophysical flows Ana M. Mancho & JA Jimnez Madrid1 Instituto de Ciencias Matemticas, CSIC 1 Now at Cambridge UniversityR$ff3fM3f" -  K $ 4  )  |A .logcsich_rgb72_200x296` ( H  0@޽h ? 3380___PPT10.MDxrV.t? V2yQI(`L   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsr0z[ 0DVerdanasr0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0r <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"K0 <4(    6\"`L P SIAM Conference on Applications of Dynamical Systems Snowbird, Utah 17-21 May 2009 Distinguished trajectories in time dependent geophysical flows Ana M. Mancho & JA Jimnez Madrid1 Instituto de Ciencias Matemticas, CSIC 1 Now at Cambridge UniversityR$ff3f?3f" -  vS $ '  )  |A .logcsich_rgb72_200x296` ( H  0@޽h ? 3380___PPT10.MDxrny? JyQI(`     L   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsr0z[ 0DVerdanasr0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0r <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"r"? Û8QI(`L   8Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0n;Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0>Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0?Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0@Ecuacin Equation.30DMicrosoft Editor de ecuaciones 3.0FDMicrosoft Editor de ecuaciones 3.0 Equation.30DMicrosoft Editor de ecuaciones 3.0GEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0IEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0 KEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0LEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0MEcuacin Equation.30NEcuacin de MS Editor de ecuaciones 3.0<http://arXiv.org/abs/0806.1155<http://arxiv.org/abs/0806.1155OEcuacin Equation.30DMicrosoft Editor de ecuaciones 3.0D/ 0|DArialngsr0z[ 0DVerdanasr0z[ 0" DTimes New Roman0z[ 00DSymbolew Roman0z[ 0R@DWingdingsRoman0z[ 0R@ .  @n?" dd@  @@`` H @ H~ ****   ..        21HG  >> () () () ()  () ()521 ()                  O0R$h_9Ё*JER$%t:ƂD`ER$gTuH[5{bb$%տh QzW W* b$N:MB8ӭb$oS.#!Gh&Q 2$odgHb.p/=5c7!b$ĩ4Qp #$R$rG=SUK=,(2$ 9[`bS{tweb$EM%`J!E hgb$bb@~mpNѢ|{Wso2$pTR~&DP҅甦ʈ2$&[| J݉2$YBAd3J@2'2$T;u2$X~@pϑ+“*[mb$sR?j`@4b$28k$1> ?b$\mwy3mGA%DUV2$ S{?&\82b$Jfo ~ 6S, 6b$:fi_b-@ Bb$]{3Gm} Lb$1mdڂhV4S$2$[hnWnOh2$bp*5 @9/lb$~ژ[χ܎/V?Qob$C#E&%T7hb$JP8bAb@nq2$0‚-TrtJIRߧ2$<'l1G$$b$ ogW.WC1 0AA@3333f@'wlQ ʚ;jjl8ʚ;g4KdKd z[ 0hppp0 <4ddddL 0r <4!d!dL< 080___PPT10 ?  %O  =01234:5<= H&C#J'D$E%A!N(Q)B"rl"? HQ