Boundary Effects in The Complex Ginzburg-Landau Equation
chao-dyn
2007-05-23 v2 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.chao-dyn/9812010,
title = {Boundary Effects in The Complex Ginzburg-Landau Equation},
author = {Victor M. Eguiluz and Emilio Hernandez-Garcia and Oreste Piro},
journal= {arXiv preprint arXiv:chao-dyn/9812010},
year = {2007}
}
Comments
5 pages, 4 figures, submitted for publication; slight modifications; for related work visit http://www.imedea.uib.es/~victor