Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays

被引：43

作者：

Fan, Dejun ^{[1
,2
]}

Hong, Ling ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, MOE Key Lab Strength & Vibrat, Xian 710049, Shaanxi, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 07期

基金：

中国国家自然科学基金;

关键词：

FHN model; Time delay; Hopf bifurcation; Stability switch; Periodic solutions; NETWORK MODEL; DIFFERENTIAL EQUATIONS; TIME-DELAY; MEMORY; ZEROS; SYNCHRONIZATION; STABILITY;

D O I：

10.1016/j.cnsns.2009.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an investigation of stability and Hopf bifurcation of the synaptically coupled nonidentical FHN model with two time delays. We first consider the existence of local Hopf bifurcations, by regarding the sum of the two delays as a parameter, then derive explicit formulas for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions, using the normal form method and center manifold theory. Finally, numerical simulations are carried out for supporting the theoretical analysis. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：1873 / 1886

页数：14

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