Frozen spatial chaos induced by boundaries
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We show that rather simple but non-trivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in extended dynamical systems with very simple dynamics. We exemplify the phenomenon with a nonlinear reaction-diffusion equation in a two-dimensional undulated domain. Concepts from the theory of dynamical systems, and a transverse-single-mode approximation are used to describe the spatially chaotic structures.
Cite
@article{arxiv.chao-dyn/9906014,
title = {Frozen spatial chaos induced by boundaries},
author = {Victor M. Eguiluz and Emilio Hernandez-Garcia and Oreste Piro and Salvador Balle},
journal= {arXiv preprint arXiv:chao-dyn/9906014},
year = {2009}
}
Comments
9 pages, 6 figures, submitted for publication; for related work visit http://www.imedea.uib.es/~victor