Eguiluz, Victor M; Hernandez-Garcia, Emilio; Piro, Oreste

Boundary Effects in The Complex Ginzburg-Landau Equation

The effect of a finite geometry in the two-dimensional
complex Ginzburg-Landau equation is addressed. The presence
of boundaries induces the formation of novel states. Target
like-solutions appear as robust solutions under Dirichlet
boundary conditions. Synchronization of plane waves emitted
by boundaries, entrainement by corner emission, and
anchoring of defects by shock lines is also reported.

More info

Also available from LANL preprint server (arXiv.org) as
paper chao-dyn/9812010

The cover of the December 1999 issue of IJBC (Vol.9, #12), is a
spin-off of this article.

Date published: 1999
Journal: International Journal of Bifurcation and Chaos
Volume: 9
Page: 2209-2214

Publications

Nonlinear Science and Statistical Physics Photonics