The isolated invariant sets of a flow

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	The isolated invariant sets of a flow
	Zheng, ZH
	2001-03-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	12 期号:3 页码:453-461
摘要	Some definitions such as m-chain recurrent set, weakly gradient dow and generalized Morse decomposition for a dow defined on a topological space are introduced in this paper. Some conclusions, include the chain recurrent set contain the m-chain recurrent set; the m-chain recurrent set contain the non-wandering set, are proved. In some flows the non-wandering set is proper subset of the in-chain recurrent set; in the meantime the m-chain recurrent set is proper subset of the chain recurrent set. Moreover some criterions for the existence of trajectories joining singular points and a necessary and sufficient condition of the weakly gradient flow are also given here. At last the generalized Morse decomposition of the invariant set are discussed in the paper. (C) 2000 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:000166332500003
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/16389
专题	应用数学研究所
通讯作者	Zheng, ZH
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, ZH. The isolated invariant sets of a flow[J]. CHAOS SOLITONS & FRACTALS,2001,12(3):453-461.
APA	Zheng, ZH.(2001).The isolated invariant sets of a flow.CHAOS SOLITONS & FRACTALS,12(3),453-461.
MLA	Zheng, ZH."The isolated invariant sets of a flow".CHAOS SOLITONS & FRACTALS 12.3(2001):453-461.