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Boundary Effects in The Complex Ginzburg-Landau Equation

Victor M. Eguiluz·Emilio Hernandez-Garcia·Oreste Piro
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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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Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro. 1998-12-04. Boundary Effects in The Complex Ginzburg-Landau Equation. https://arxiv.org/abs/chao-dyn/9812010

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