Global Hopf bifurcation analysis on a BAM neural network with delays

被引：8
|
作者：
Sun, Chengjun [1 ]
Han, Maoan
Pang, Xiaoming
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Dept Civil Engn, Shanghai 200240, Peoples R China
来源：
PHYSICS LETTERS A | 2007年 / 360卷 / 06期
关键词：
neural network; global Hopf bifurcation; additive compound matrix;
D O I：
10.1016/j.physleta.2006.08.078
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A delayed differential equation that models a bidirectional associative memory (BAM) neural network with four neurons is considered. By using a global Hopf bifurcation theorem for FDE and a Bendixon's criterion for high-dimensional ODE, a group of sufficient conditions for the system to have multiple periodic solutions are obtained when the sum of delays is sufficiently large. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：689 / 695
页数：7
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