Covering relations for coupled map networks

被引：1

作者：

Bunimovich, Leonid ^{[2
]}

Li, Ming-Chia ^{[1
]}

Lyu, Ming-Jiea ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 01期

关键词：

Coupled map network; Covering relation; Topological entropy; Symbolic dynamics; Perturbation; Brouwer degree; ONE-DIMENSIONAL MAPS; MULTIDIMENSIONAL PERTURBATIONS; TOPOLOGICAL-ENTROPY; DYNAMICAL NETWORKS; SYNCHRONIZATION; TIME;

D O I：

10.1016/j.jmaa.2012.06.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：189 / 198

页数：10

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