Some properties for the attractors

CSpace > 应用数学研究所

	Some properties for the attractors
	Zheng, ZH
	2001-07-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:7 页码:823-828
摘要	For the continuous flows defined on a topological space, we have discussed some properties for the invariant sets and their domains of influence. We have proved the following open problem posed by C. Conley: an attractor in a locally connected compact Hausdorff invariant set has finitely many components. In the meantime, two necessary and sufficient conditions for a set to be an attractor have been given.
关键词	compact Hausdorff space flow attractor connected component
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000171856500002
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16106
专题	应用数学研究所
通讯作者	Zheng, ZH
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, ZH. Some properties for the attractors[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(7):823-828.
APA	Zheng, ZH.(2001).Some properties for the attractors.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(7),823-828.
MLA	Zheng, ZH."Some properties for the attractors".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.7(2001):823-828.