Stability and Hopf bifurcation analysis in bidirectional ring network model

被引：4

作者：

Wang, Linjun ^{[1
,2
]}

Han, Xu ^{[1
]}

机构：

[1] Hunan Univ, Coll Mech & Automot Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 09期

基金：

美国国家科学基金会;

关键词：

Delay; Hopf bifurcation; Neural network; Normal form; Center manifold;

D O I：

10.1016/j.cnsns.2010.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the system parameter instead of the delay as the bifurcation parameter, linear stability and Hopf bifurcation analysis including its direction and stability of bidirectional ring network model are investigated in this paper. The main tools to obtain our results are the normal form method and center manifold theory. Numerical simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3684 / 3695

页数：12

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