FOLD-HOPF BIFURCATION ANALYSIS FOR A COUPLED FITZHUGH-NAGUMO NEURAL SYSTEM WITH TIME DELAY

被引：27

作者：

Zhen, Bin ^{[1
]}

Xu, Jian ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 12期

关键词：

FHN model; delay; Fold-Hopf bifurcation; almost periodic motion; bursting behavior; NETWORK; MODELS;

D O I：

10.1142/S0218127410028112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A FitzHugh-Nagumo (FHN) model with delayed coupling is considered. For a critical case when the corresponding characteristic equation has a single zero root and a pair of purely imaginary roots, a complete bifurcation analysis is presented by employing the center manifold reduction and the normal form method. The Fold-Hopf bifurcation diagrams are provided to illustrate the correctness of our theoretical analysis. Whether almost periodic motion and bursting behavior occur in the FHN neural system with delayed coupling depends on the time delay in the signal transmission between the neurons.

引用

页码：3919 / 3934

页数：16

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