All solutions of a class of discrete-time systems are eventually periodic

被引：8

作者：

Yuan, ZH ^{[1
]}

Huang, LH ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Dept Math, Changsha 410082, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 158卷 / 02期

基金：

中国国家自然科学基金;

关键词：

discrete-time systems; eventually periodic; neural network; bounded; McCulloch-Pitts nonlinearity;

D O I：

10.1016/j.amc.2003.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of discrete-time systems as a model for two neurons with no internal decay. Such a discrete-time system can be regarded as the discrete analog of a differential equation with piecewise constant nonlinearity of McCulloch-Pitts type. Base on some simple geometric facts, we show that all solutions of this discrete-time system are eventually periodic. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：537 / 546

页数：10

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