Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions

被引：6
|
作者：
Zhang, Weiyuan [1 ]
Li, Junmin [2 ]
Chen, Minglai [2 ]
机构：
[1] Xianyang Normal Univ, Inst Math & Appl Math, Xianyang 712000, Peoples R China
[2] Xidian Univ, Sch Sci, Xian 710071, Shaanxi, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
基金：
中国国家自然科学基金;
关键词：
neural networks; reaction-diffusion; mixed time delays; global exponential stability; Poincare mapping; Lyapunov functional; TIME-VARYING DELAYS; DISTRIBUTED DELAYS; ASYMPTOTIC STABILITY; OSCILLATORY SOLUTION; TERMS; CRITERION;
D O I：
10.1186/1687-2770-2013-105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, both global exponential stability and periodic solutions are investigated for a class of delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions. By employing suitable Lyapunov functionals, sufficient conditions of the global exponential stability and the existence of periodic solutions are established for reaction-diffusion BAM neural networks with mixed time delays and Dirichlet boundary conditions. The derived criteria extend and improve previous results in the literature. A numerical example is given to show the effectiveness of the obtained results.
引用
收藏
页数：23
相关论文
共 50 条
  • [31] Exponential stability, periodic solutions and global attraction of delay BAM neural networks
    Lou, Xuyang
    Cui, Baotong
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 535 - 540
  • [32] Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction-diffusion terms
    Wu, Ailong
    Fu, Chaojin
    APPLIED MATHEMATICAL MODELLING, 2010, 34 (10) : 3022 - 3029
  • [33] An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
    Song, Qiankun
    Wang, Zidong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (04) : 1224 - 1234
  • [34] Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay
    Xu, Changjin
    Zhang, Qiming
    NEUROCOMPUTING, 2015, 153 : 108 - 116
  • [35] Periodicity of recurrent neural networks with reaction-diffusion and dirichlet boundary conditions
    Fu, Chaojin
    Zhu, Chongjun
    Chen, Boshan
    ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 3, PROCEEDINGS, 2007, 4493 : 123 - +
  • [36] Global exponential stability of delayed reaction-diffusion neural networks with time-varying coefficients
    Wu, Ranchao
    Zhang, Weiwei
    EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (06) : 9834 - 9838
  • [37] Global Exponential Stability of Impulsive Delayed Neural Networks with Parameter Uncertainties and Reaction-Diffusion Terms
    Luo, Fei
    Hu, Weiyi
    Wu, Enli
    Yuan, Xiufang
    MATHEMATICS, 2024, 12 (15)
  • [38] Delay-independent stability of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions
    Liu, Zaiming
    Peng, Jun
    NEURAL COMPUTING & APPLICATIONS, 2010, 19 (01): : 151 - 158
  • [39] Global exponential stability and periodic solutions of delayed cellular neural networks
    Cao, JD
    JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2000, 60 (01) : 38 - 46
  • [40] Global exponential synchronization of BAM memristive neural networks with mixed and reaction-diffusion terms
    Chen, Huihui
    Jiang, Minghui
    Hu, Junhao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 137
12345