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Boundary Effects in The Complex Ginzburg-Landau Equation

1998/12/04 by Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro
Physics and Astronomy · #chao-dyn #nlin.CD

paper · pdf

published as International Journal of Bifurcation and Chaos 9, 2209-2214 (1999) · 5 pages, 4 figures, submitted for publication; slight modifications; for related work visit http://www.imedea.uib.es/~victor

arxiv created 1998/12/04 · arxiv updated 2009/11/30

Abstract

The effect of a finite geometry on the two-dimensional complex Ginzburg-Landau equation is addressed. Boundary effects induce the formation of novel states. For example target like-solutions appear as robust solutions under Dirichlet boundary conditions. Synchronization of plane waves emitted by boundaries, entrainment by corner emission, and anchoring of defects by shock lines are also reported.

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