Stability and bifurcation of a discrete BAM neural network model with delays

被引：11
|
作者：
Zheng, Baodong [1 ]
Zhang, Yang [1 ]
Zhang, Chunrui [2 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] NE Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 36卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2006.06.073
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A map modelling a discrete bidirectional associative memory neural network with delays is investigated. Its dynamics is studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. It is found that there exist Hopf bifurcations when the delay passes a sequence of critical values. Numerical simulation is performed to verify the analytical results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：612 / 616
页数：5
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