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
收藏
页码：84 / 94
页数：11
相关论文
共 50 条
  • [21] Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays
    Xiao, Bing
    APPLIED MATHEMATICS LETTERS, 2009, 22 (04) : 528 - 533
  • [22] Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays
    Zhang, Jie
    Gui, Zhanji
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 602 - 613
  • [23] Existence and Stability of Periodic Solutions for BAM Neural Networks with Time-Varying Delays and Impulses
    Wu, Chunxue
    Shi, Bao
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 472 - 481
  • [24] Existence and Uniqueness of Solution for Impulsive Cellular Neural Networks
    Liu, Jing
    Liu, Anping
    Ma, Qingxia
    SECOND INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN, VOL 2, PROCEEDINGS, 2009, : 413 - +
  • [25] Existence of Periodic Solution for Cellular Neural Networks
    Zhang, Linli
    Liu, Anping
    Li, Huijuan
    Tang, Qing
    ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 3, PROCEEDINGS, 2008, : 465 - 468
  • [26] Global stability and existence of periodic solutions of discrete delayed cellular neural networks
    Li, YK
    PHYSICS LETTERS A, 2004, 333 (1-2) : 51 - 61
  • [27] Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
    Chen, Ninghua
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [28] Existence and global exponential stability of periodic solution of a cellular neural networks difference equation with delays and impulses
    Yang, Xinsong
    Cui, Xiangzhao
    Long, Yao
    NEURAL NETWORKS, 2009, 22 (07) : 970 - 976
  • [29] Stability and existence of periodic solutions of periodic cellular neural networks with time-vary delays
    Gui, Z.
    Yang, X. -S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (12) : 1657 - 1670
  • [30] Existence of periodic solution for discrete-time cellular neural networks with complex deviating arguments and impulses
    Yang, Xinsong
    Li, Fen
    Long, Yao
    Cui, Xiangzhao
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (02): : 559 - 566
12345