Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays

被引：5

作者：

Liu, Qiming ^{[1
]}

Xu, Rui ^{[1
]}

Wang, Zhiping ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷

基金：

中国国家自然科学基金;

关键词：

GLOBAL EXPONENTIAL STABILITY; HOPF-BIFURCATION; INTERVAL; SYSTEM;

D O I：

10.1155/2011/403873

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed. By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stability of bifurcating periodic solutions are obtained. Numerical simulations are given to illustrate the obtained results.

引用

页数：14

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