Stability and Hopf bifurcation analysis on a ring of four neurons with delays

被引：57

作者：

Hu, Haijun ^{[1
]}

Huang, Lihong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 213卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Ring network; Linear stability; Hopf bifurcation; Characteristic equation; NEURAL-NETWORK MODEL; DIFFERENTIAL EQUATIONS; PERIODICITY; SYSTEM; ZEROS;

D O I：

10.1016/j.amc.2009.03.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a four-neuron ring with self-feedback and delays. By analyzing the associated characteristic equation, linear stability is investigated and Hopf bifurcations are demonstrated, as well as the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. Numerical simulations are presented to illustrate the results. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：587 / 599

页数：13

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