Some properties of the chain recurrent set of dynamical systems

被引：0
|
作者：
Hu, FN [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 08期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the conclusions that the chain-transitive components of a flow on a compact Hausdorff topological space are precisely the components of the chain recurrent set and that each chain-transitive component is chain recurrent are proved. A necessary and sufficient condition for the entire space to be a single chain-transitive component is given at the same time. Moreover some properties about the chain-transitive components are discussed. At last for a continuous map defined on a compact metric space, the strong-epsilon-chain, strong-chain-transitive component are introduced and some existing results are improved. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：1309 / 1314
页数：6
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