Existence and Stability of Steady Fronts in Bistable CML
patt-sol
2009-10-28 v1 Pattern Formation and Solitons
Abstract
We prove the existence and we study the stability of the kink-like fixed points in a simple Coupled Map Lattice for which the local dynamics has two stable fixed points. The condition for the existence allows us to define a critical value of the coupling parameter where a (multi) generalized saddle-node bifurcation occurs and destroys these solutions. An extension of the results to other CML's in the same class is also displayed. Finally, we emphasize the property of spatial chaos for small coupling.
Keywords
Cite
@article{arxiv.patt-sol/9511001,
title = {Existence and Stability of Steady Fronts in Bistable CML},
author = {B. Fernandez},
journal= {arXiv preprint arXiv:patt-sol/9511001},
year = {2009}
}
Comments
18 pages, uuencoded PostScript file, J. Stat. Phys. (In press)