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
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