Hopf bifurcation analysis for a two-neuron network with four delays

被引：42

作者：

Huang, Chuangxia

Huang, Lihong ^{[1
]}

Feng, Hanfeng

Nai, Mingyong

He, Yigang

机构：

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

[2] Hunan Univ, Sch Econ & Business, Changsha 410082, Hunan, Peoples R China

[3] Univ Warwick, Dept Math & Comp Sci, Coventry CV4 7AL, W Midlands, England

[4] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 34卷 / 03期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

hopf bifurcation; neural network; delay; linear stability;

D O I：

10.1016/j.chaos.2006.03.089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A delay-differential system modelling an artificial neural network with two neurons is investigated. At appropriate parameter values, linear stability and Hopf bifurcation including its direction and stability of the network with four delays are established in this paper. The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard. Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior. Our results extend and complement some earlier publications. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：795 / 812

页数：18

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