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arXiv · 1109.1931

Covering relations for coupled map networks

Leonid Bunimovich·Ming-Chia Li·Ming-Jiea Lyu
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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.

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Leonid Bunimovich, Ming-Chia Li, Ming-Jiea Lyu. 2011-09-09. Covering relations for coupled map networks. https://arxiv.org/abs/1109.1931

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