Wave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations
patt-sol
2009-10-30 v1 Condensed Matter
Pattern Formation and Solitons
Abstract
We study the effect of spatial frequency-forcing on standing-wave solutions of coupled complex Ginzburg-Landau equations. The model considered describes several situations of nonlinear counterpropagating waves and also of the dynamics of polarized light waves. We show that forcing introduces spatial modulations on standing waves which remain frequency locked with a forcing-independent frequency. For forcing above a threshold the modulated standing waves unlock, bifurcating into a temporally periodic state. Below the threshold the system presents a kind of excitability.
Keywords
Cite
@article{arxiv.patt-sol/9602001,
title = {Wave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations},
author = {A. Amengual and D. Walgraef and M. San Miguel and E. Hernandez-Garcia},
journal= {arXiv preprint arXiv:patt-sol/9602001},
year = {2009}
}
Comments
4 pages, including 4 postscript figures. To appear in Physical Review Letters (1996). This paper and related material can be found at http://formentor.uib.es/Nonlinear/