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
收藏
页码：157 / 161
页数：5
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