EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

• 作者: Xiang Hongjun Wang Jinhua Chen Anping
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 分布式延迟 分流抑制神经网络 周期解 固定点 LYAPUNOV函数 存在性
• 年，卷（期）: 2005,（4）
• 页码范围: 604-615
• 页数: 12页
• 分类号: O17

摘要

<正>In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system is studied. By using the Schauder's fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible.