Boundary Effects in The Complex Ginzburg-Landau Equation

Details Boundary Effects in The Complex Ginzburg-Landau Equation Boundary Effects in The Complex Ginzburg-Landau Equation

1998-12-03

arxiv.org/abs/chao-dyn/9812010v2

International Journal of Bifurcation and Chaos 9, 2209-2214 (1999)

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures, submitted for publication; slight modifications; for related work visit http://www.imedea.uib.es/~victor

Scientific paper

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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