Chaos of discrete dynamical systems in complete metric spaces

被引：114

作者：

Shi, YM ^{[1
]}

Chen, GR

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 03期

关键词：

D O I：

10.1016/j.chaos.2004.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with chaos of discrete dynamical systems in complete metric spaces. Discrete dynamical systems governed by continuous maps in general complete metric spaces are first discussed, and two criteria of chaos are then established. As a special case, two corresponding criteria of chaos for discrete dynamical systems in compact subsets of metric spaces are obtained. These results have extended and improved the existing relevant results of chaos in finite-dimensional Euclidean spaces. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：555 / 571

页数：17

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