Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses

被引：44

作者：

Gui, Zhanji ^{[1
]}

Ge, Weigao

机构：

[1] Hainan Normal Univ, Dept Comp Sci, Haikou 571558, HaiNan, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 354卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

cellular neural networks; periodic solution; quasi-periodic solution; Lyapunov functional; impulse;

D O I：

10.1016/j.physleta.2006.01.018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the continuation theorem of Mawhin's coincidence degree theory and some analysis techniques, some new sufficient conditions are obtained ensuring existence, uniqueness and global exponential stability of periodic solution of nonautonomous cellular neural networks with impulses. The results extend earlier ones where impulses are absent. Further, using numerical simulation method the influences of the impulsive perturbations on the inherent oscillation are investigated. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：84 / 94

页数：11

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