Co-existence of chaos and stable periodic orbits in a simple discrete neural network

被引：26

作者：

Huang, Y ^{[1
]}

Zou, X

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

来源：

JOURNAL OF NONLINEAR SCIENCE | 2005年 / 15卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

neural network; discrete; delay; chaos; capacity; associate memory; periodic solutions;

D O I：

10.1007/s00332-005-0647-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a simple discrete network of two identical neurons can demonstrate chaotic behavior near the origin. This is complementary to the results in Wu and Zhang (Disc. Contin. Dynaln. Syst. Series B, 4 (2004), 853-865), where it was shown that the same system can have a large capacity of stable periodic orbits in a region away from the origin.

引用

页码：291 / 303

页数：13

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