Periodic solutions of nonautonomous cellular neural networks with impulses

被引：32

作者：

Gui, Zhanji ^{[1
]}

Ge, Weigao

机构：

[1] Hainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China

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

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 32卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2005.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions are obtained for the existence and global exponential stability of a unique periodic solution of a class of neural networks with impulses by using Mawhin's continuation theorem of coincidence degree theory and constructing Lyapunov functions. An illustrative example is given to demonstrate the effectiveness of the obtained results. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1760 / 1771

页数：12

共 50 条

[41] Existence of periodic solutions for cellular neural networks with complex deviating arguments
Liu, Bingwen
Huang, Lihong
APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 103 - 109
[42] Global exponential stability and periodic solutions of cellular neural networks with delay
Fang, H
Li, JB
PHYSICAL REVIEW E, 2000, 61 (04): : 4212 - 4217
[43] Existence of periodic solutions for neutral type cellular neural networks with delays
Li, Yongkun
Zhao, Lu
Chen, Xuerong
APPLIED MATHEMATICAL MODELLING, 2012, 36 (03) : 1173 - 1183
[44] Multiple Periodic Solutions for Cohen-Grossberg BAM Neural Networks with Mixed Delays and Impulses
Liao, Yongzhi
Tang, Qilin
ENGINEERING LETTERS, 2022, 30 (04) : 1185 - 1198
[45] 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
[46] Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses
Liu, Qiming
Xu, Rui
JOURNAL OF APPLIED MATHEMATICS, 2012,
[47] 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
[48] 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
[49] Existence of an exponential periodic attractor of periodic solutions for general BAM neural networks with time-varying delays and impulses
Yang, Wengui
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (02) : 569 - 582
[50] 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

← 1 2 3 4 5 →