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.
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页码：471 / 479
页数：9
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