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
下载
收藏
页码：612 / 616
页数：5
相关论文
共 50 条
  • [1] Stability and bifurcation analysis of a six-neuron BAM neural network model with discrete delays
    Xu, Changjin
    Tang, Xianhua
    Liao, Maoxin
    NEUROCOMPUTING, 2011, 74 (05) : 689 - 707
  • [2] Bifurcation analysis in a discrete BAM network model with delays
    Shu, Hongying
    Wei, Junjie
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (01) : 69 - 84
  • [3] Stability and bifurcation analysis for a neural network model with discrete and distributed delays
    Du, Yanke
    Xu, Rui
    Liu, Qiming
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (01) : 49 - 59
  • [4] Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
    Song, YL
    Han, MA
    Wei, JJ
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 200 (3-4) : 185 - 204
  • [5] Stability and bifurcation in a simplified five-neuron BAM neural network with delays
    Yang, Yu
    Ye, Jin
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2357 - 2363
  • [6] Stability and Hopf bifurcation in a simplified BAM neural network with two time delays
    Cao, Jinde
    Xiao, Min
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02): : 416 - 430
  • [7] On Investigation of Stability and Bifurcation of Neural Network with Discrete and Distributed Delays
    Martsenyuk, Vasyl
    Andrushchak, Igor
    Sverstiuk, Andrii
    Klos-Witkowska, Aleksandra
    COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT, CISIM 2018, 2018, 11127 : 300 - 313
  • [8] Stability and bifurcation analysis in a neural network model with delays
    Wei, JJ
    Jiang, WH
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (02): : 177 - 192
  • [9] Stability and bifurcation in a neural network model with two delays
    Wei, JJ
    Ruan, SR
    PHYSICA D, 1999, 130 (3-4): : 255 - 272
  • [10] Stability and bifurcation in a simplified four-neuron BAM neural network with multiple delays
    Yan, Xiang-Ping
    Li, Wan-Tong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
12345