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