2N almost periodic attractors for Cohen-Grossberg-type BAM neural networks with variable coefficients and distributed delays

被引:12
|
作者
Ding, Wei [1 ]
Wang, Linghai [1 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
基金
中国国家自然科学基金; 上海市自然科学基金;
关键词
Cohen-Grossberg-type; BAM neural networks; Almost periodic solution; Invariant basins; Attracting domains; GLOBAL EXPONENTIAL STABILITY; ASSOCIATIVE MEMORY NETWORKS; CONTINUOUS-TIME; EXISTENCE;
D O I
10.1016/j.jmaa.2010.06.055
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of 2(N) almost periodic attractors for Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with variable coefficients and distributed delays is discussed. By imposing some new assumptions on activation functions and system parameters, we split invariant basin of BAM into 2(N) compact convex subsets. Then the existence of 2(N) almost periodic solutions lying in compact convex subsets is attained. And some new criteria for the networks to converge toward these 2(N) almost periodic solutions and exponential attracting domains are also given correspondingly. Finally, some examples are presented to illustrate the feasibility and effectiveness of the results. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:322 / 342
页数:21
相关论文
共 50 条
  • [1] Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays
    Xiang, Hongjun
    Wang, Jinhua
    Cao, Jinde
    NEUROCOMPUTING, 2009, 72 (16-18) : 3751 - 3759
  • [2] Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
    Liu, Qiming
    Xu, Rui
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [3] Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
    Li, Kelin
    Zhang, Liping
    Zhang, Xinhua
    Li, Zuoan
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3970 - 3984
  • [4] Mean square stability of periodic solution for stochastic Cohen-Grossberg-type BAM neural networks with delays
    Miao, Chunfang
    Ke, Yunquan
    WSEAS Transactions on Mathematics, 2012, 11 (09) : 731 - 741
  • [5] Exponential stability of periodic solutions for inertial Cohen-Grossberg-type BAM neural networks with time delays
    Wei, Xuerui
    Wei, X. (weixuerui@hotmail.com), 1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (12): : 159 - 169
  • [6] Convergence of nonautonomous Cohen-Grossberg-type neural networks with variable delays
    Yuan, Zhaohui
    Huang, Lihong
    Hu, Dewen
    Liu, Bingwen
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (01): : 140 - 147
  • [7] Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
    Li, Xiaodi
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 292 - 307
  • [8] Periodic Solutions for High-Order Cohen-Grossberg-Type BAM Neural Networks with Time-Delays
    Ke, Yunquan
    Miao, Chunfang
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 375 - 384
  • [9] 2N almost periodic attractors for CNNs with variable and distributed delays
    Huang, Zhenkun
    Mohamad, Sannay
    Cai, Guorong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (04): : 391 - 412
  • [10] Periodic Solution for Fuzzy Cohen–Grossberg BAM Neural Networks with Both Time-Varying and Distributed Delays and Variable Coefficients
    Wengui Yang
    Neural Processing Letters, 2014, 40 : 51 - 73