Hopf bifurcation for neutral-type neural network model with two delays

被引：30
作者：
Zeng, Xiaocai [1 ]
Xiong, Zuoliang [1 ]
Wang, Changjian [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 282卷
基金：
中国国家自然科学基金;
关键词：
Neutral neural network model; Hopf bifurcation; Center manifold; Normal form; STABILITY;
D O I：
10.1016/j.amc.2016.01.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the dynamics of a neutral neural network model with two delays is investigated. The condition to ensure the stability of the zero solution of the system is decided by choosing tau(1) and tau(2) as parameters, respectively. Then the Hopf bifurcation is discussed by using the center manifold theory and normal form method introduced by Hassard and Kazarinoff. Global existence of periodic solution is studied by using the global Hopf bifurcation theory. Finally, some numerical simulations are carried out to illustrate the analytical results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：17 / 31
页数：15
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