Bifurcating vortex solutions of the complex Ginzburg-Landau equation
Dynamical Systems
2007-05-23 v1
Abstract
It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial -periodic vortex solutions that have simple zeros (``vortices'') per period. The vortex solutions bifurcate from the trivial solution and inherit their zeros from the solution of the linearized equation. This result rules out the possibility that the vortices are determining nodes for vortex solutions of the CGL equation.
Keywords
Cite
@article{arxiv.math/9906172,
title = {Bifurcating vortex solutions of the complex Ginzburg-Landau equation},
author = {Hans G. Kaper and Peter Takac},
journal= {arXiv preprint arXiv:math/9906172},
year = {2007}
}
Comments
To appear in Discrete and Continuous Dynamical Systems (1999); 10 pages, 2 figures