Hopf bifurcation in bidirectional associative memory neural networks with delays: analysis and computation

被引:43
|
作者
Wang, L [1 ]
Zou, XF [1 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
bidirectional associative memory; delay; Hopf bifurcation; Liapunov functional; neural networks; stability;
D O I
10.1016/j.cam.2003.09.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In addition to giving some delay-independent conditions for global stability of the bidirectional associative memory neural networks with delays, we perform analysis of local stability and Hopf bifurcation. We also work out an algorithm for determining the direction and stability of the bifurcated periodic solutions. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:73 / 90
页数:18
相关论文
共 50 条
  • [31] Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays
    Arik, S
    Tavsanoglu, V
    NEUROCOMPUTING, 2005, 68 : 161 - 176
  • [32] An analysis of global exponential stability of bidirectional associative memory neural networks with constant time delays
    Zhao, Weirui
    Zhang, HuanShui
    Kong, Shulan
    NEUROCOMPUTING, 2007, 70 (7-9) : 1382 - 1389
  • [33] Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse
    Huang, Zai-Tang
    Luo, Xiao-Shu
    Yang, Qi-Gui
    CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 878 - 885
  • [34] Exponential stability of bidirectional associative memory neural networks with variable delays and impulsive
    Zhang, Chaolong
    Yang, Fengjian
    Wu, Dongqing
    Yang, Jianfu
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 1810 - 1814
  • [35] Global stability of bidirectional associative memory neural networks with continuously distributed delays
    张强
    马润年
    许进
    ScienceinChina(SeriesF:InformationSciences), 2003, (05) : 327 - 334
  • [36] Global exponential stability of bidirectional associative memory neural networks with time delays
    Liu, Xin-Ge
    Martin, Ralph R.
    Wu, Min
    Tang, Mei-Lan
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (03): : 397 - 407
  • [37] Global dissipativity of fuzzy bidirectional associative memory neural networks with proportional delays
    Aouiti, C.
    Sakthivel, R.
    Touati, F.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (02): : 65 - 80
  • [38] Global stability of bidirectional associative memory neural networks with continuously distributed delays
    Qiang Zhang
    Runnian Ma
    Jin Xu
    Science in China Series F: Information Sciences, 2003, 46 : 327 - 334
  • [39] Novel stability criteria for bidirectional associative memory neural networks with time delays
    Liao, XF
    Yu, JB
    Chen, GR
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2002, 30 (05) : 519 - 546
  • [40] Global stability of bidirectional associative memory neural networks with continuously distributed delays
    Zhang, Q
    Ma, RN
    Xu, J
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2003, 46 (05): : 327 - 334