Existence and stability of periodic solutions for Hopfield neural network equations with periodic input

被引：60

作者：

Dong, QX ^{[1
]}

Matsui, K

Huang, XK

机构：

[1] Tokyo Denki Univ, Coll Sci & Engn, Hatoyama, Saitama 3500394, Japan

[2] Beijing Inst Business, Math Sect, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 04期

关键词：

Hopfield neural network; continuation theorem; periodic solution; existence and stability;

D O I：

10.1016/S0362-546X(01)00113-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and stability of periodic solutions for the general Hopfield neural network equations with periodic input and delay argument were studied. An operator equation was used to obtain a periodic solution in Banach space. The uniqueness of the periodic solution was also studied.

引用

页码：471 / 479

页数：9

共 50 条

[1] On the existence and stability of periodic solutions for hopfield neural network equations with delay
Huang Xiankai
Applied Mathematics and Mechanics, 1999, 20 (10) : 1116 - 1120
[2] ON THE EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS FOR HOPFIELD NEURAL NETWORK EQUATIONS WITH DELAY
黄先开
AppliedMathematicsandMechanics(EnglishEdition), 1999, (10) : 1116 - 1120
[3] On the existence and stability of periodic solutions for Hopfield neural network equations with delay
Huang, XK
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1999, 20 (10) : 1116 - 1120
[4] Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput
杨喜陶
NortheasternMathematicalJournal, 2006, (02) : 199 - 205
[5] Existence and exponential stability of almost periodic solutions for Hopfield neural networks with delays
Liu, BW
Huang, LH
NEUROCOMPUTING, 2005, 68 : 196 - 207
[6] Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays
Bai, Chuanzhi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5850 - 5859
[7] Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses
Shi, Peilin
Dong, Lingzhen
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 623 - 630
[8] Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations
Huang, Lihong
Wang, Jiafu
Zhou, Xiangnan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1651 - 1661
[9] Existence and Stability of Periodic Solution for Impulsive Hopfield Neural Networks
Li, Yanling
Liu, Anping
Xiao, Li
SECOND INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN, VOL 2, PROCEEDINGS, 2009, : 417 - +
[10] On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima
Bantsur N.R.
Trofimchuk O.P.
Ukrainian Mathematical Journal, 1998, 50 (6) : 847 - 856

← 1 2 3 4 5 →