Covering relations for coupled map networks
Dynamical Systems
2011-09-12 v1
Abstract
Following [6,12], we study coupled map networks over arbitrary finite graphs. An estimate from below for a topological entropy of a perturbed coupled map network via a topological entropy of an unperturbed network by making use of the covering relations for coupled map networks is obtained. The result is quite general, particularly no assumptions on hyperbolicity of a local dynamics or linearity of coupling are made.
Cite
@article{arxiv.1109.1931,
title = {Covering relations for coupled map networks},
author = {Leonid Bunimovich and Ming-Chia Li and Ming-Jiea Lyu},
journal= {arXiv preprint arXiv:1109.1931},
year = {2011}
}