Horseshoe chaos in cellular neural networks

被引：31

作者：

Yang, XS ^{[1
]}

Li, QD

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

[2] Chongqing Univ Posts & Telecomm, Inst Nonlinear Syst, Chongqing 400065, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 01期

关键词：

chaos; Poincare map; horseshoe; cellular neural networks;

D O I：

10.1142/S0218127406014666

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we demonstrate chaos in low dimensional cellular neural networks for some weight matrices. To verify chaoticity of the dynamics in these cellular neural networks, we consider a cross-section properly chosen for the attractors obtained and study the dynamics of the corresponding Poincare maps, and rigorously verify the existence of horseshoe in the manner of coin puter-assisted proof arguments.

引用

页码：157 / 161

页数：5

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