Some properties of the chain recurrent set of dynamical systems

CSpace

	Some properties of the chain recurrent set of dynamical systems
	Hu, FN
	2002-11-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	14 期号:8 页码:1309-1314
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.
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000178133800016
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17340
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, FN
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, FN. Some properties of the chain recurrent set of dynamical systems[J]. CHAOS SOLITONS & FRACTALS,2002,14(8):1309-1314.
APA	Hu, FN.(2002).Some properties of the chain recurrent set of dynamical systems.CHAOS SOLITONS & FRACTALS,14(8),1309-1314.
MLA	Hu, FN."Some properties of the chain recurrent set of dynamical systems".CHAOS SOLITONS & FRACTALS 14.8(2002):1309-1314.