Anti-periodic solutions for high-order Hopfield neural networks

被引:74
作者
Ou, Chunxia [1 ]
机构
[1] Guangdong Univ Technol, Inst Appl Math, Guangzhou 510290, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
high-order Hopfield neural networks; anti-periodic; exponential stability; delays;
D O I
10.1016/j.camwa.2008.04.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper high-order Hopfield neural networks (HHNNs) with time-varying delays are considered. Sufficient conditions for the existence and exponential stability of anti-periodic solutions are established, which are new and complement previously known results. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1838 / 1844
页数:7
相关论文
共 15 条
[1]   ON A CLASS OF 2ND-ORDER ANTIPERIODIC BOUNDARY-VALUE-PROBLEMS [J].
AFTABIZADEH, AR ;
AIZICOVICI, S ;
PAVEL, NH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (02) :301-320
[2]   Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities [J].
Aizicovici, S ;
McKibben, M ;
Reich, S .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (02) :233-251
[3]   Anti-periodic solutions for fully nonlinear first-order differential equations [J].
Chen, Yuqing ;
Nieto, Juan J. ;
O'Regan, Donal .
MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (9-10) :1183-1190
[4]   Lacunary interpolation by antiperiodic trigonometric polynomials [J].
Delvos, FJ ;
Knoche, L .
BIT, 1999, 39 (03) :439-450
[5]  
HALE JK, 1977, THEORY FUNCTIONAL DI
[6]  
JIANG Y, CHAOS SOLITONS FRACT
[7]   Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays [J].
Liu, Bingwen ;
Huang, Lihong .
CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :617-627
[8]   Multi-stability and almost periodic solutions of a class of recurrent neural networks [J].
Liu, Yiguang ;
You, Zhisheng .
CHAOS SOLITONS & FRACTALS, 2007, 33 (02) :554-563
[9]  
MOHAMAD S, 1984, CHAOS SOLITON FRACT, V81, P3088
[10]   Exponential stability in Hopfield-type neural networks with impulses [J].
Mohamad, Sannay .
CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :456-467