Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation
Abstract
We study the spatiotemporally chaotic dynamics of holes and defects in the 1D complex Ginzburg--Landau equation (CGLE). We focus particularly on the self--disordering dynamics of holes and on the variation in defect profiles. By enforcing identical defect profiles and/or smooth plane wave backgrounds, we are able to sensitively probe the causes of the spatiotemporal chaos. We show that the coupling of the holes to a self--disordered background is the dominant mechanism. We analyze a lattice model for the 1D CGLE, incorporating this self--disordering. Despite its simplicity, we show that the model retains the essential spatiotemporally chaotic behavior of the full CGLE.
Keywords
Cite
@article{arxiv.cond-mat/0301631,
title = {Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation},
author = {Martin Howard and Martin van Hecke},
journal= {arXiv preprint arXiv:cond-mat/0301631},
year = {2009}
}
Comments
8 pages, 10 figures; revised and shortened; extra discussion of self-disordering dynamics