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Boundary Effects in The Complex Ginzburg-Landau Equation

Eguiluz, Victor M.; Hernandez-Garcia, Emilio; Piro, Oreste
International Journal of Bifurcation and Chaos 9, 2209-2214 (1999)

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.

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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.