Stability and global Hopf bifurcation for neutral BAM neural network

被引：27

作者：

Liu, Ming ^{[1
]}

Xu, Xiaofeng ^{[1
]}

Zhang, Chunrui ^{[1
]}

机构：

[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China

来源：

NEUROCOMPUTING | 2014年 / 145卷

基金：

中国国家自然科学基金;

关键词：

Neutral; BAM neural network; Stability; Global Hopf bifurcation; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ASSOCIATIVE MEMORY NETWORKS; PERIODIC-SOLUTIONS; DELAYS; EXISTENCE; MODEL; CRITERION;

D O I：

10.1016/j.neucom.2014.05.051

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a simplified neutral BAM neural network model is considered. Some results of stability and Hopf bifurcations occurring at the zero equilibrium as the delay increases are exhibited. Global existence of periodic solutions is established by using a global Hopf bifurcation result of Wu and a Bendixson criterion for higher dimensional ordinary differential equations due to Li and Muldowney. Finally, some numerical simulations are carried out to support the analytical results. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：122 / 130

页数：9

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