Browsing by Author "Bunimovich, Leonid"

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Covering relations for coupled map networks
(2012-12-01)
Bunimovich, Leonid
;
Li, Ming-Chia
;
Lyu, Ming-Jiea
;
應用數學系
;
Department of Applied Mathematics
In this paper, we study coupled map networks over arbitrary finite graphs. An estimate from below for a topological entropy of a perturbed coupled map network is obtained via a topological entropy of an unperturbed network by making use of the covering relations for coupled map networks. The result is quite general; in particular, nonlinear coupling is allowed and no assumptions of hyperbolicity of the local dynamics are made. (C) 2012 Elsevier Inc. All rights reserved.