Discussion on the geometric structure of strange attractor

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	Discussion on the geometric structure of strange attractor
	Liu ZR; Cao YL
发表期刊	Chinese Physics Letters
	1991
卷号	8 期号:10 页码:503-506
ISSN	0256-307X
摘要	We discuss the transversal heteroclinic cycle formed by hyperbolic periodic pointes of diffeomorphism on the differential manifold. We point out that every possible kind of transversal heteroclinic cycle has the Smalehorse property and the unstable manifolds of hyperbolic periodic points have the closure relation mutually. Therefore the strange attractor may be the closure of unstable manifolds of a countable number of hyperbolic periodic points. The Henon mapping is used as an example to show that the conclusion is reasonable.
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收录类别	SCI ; CSCD
语种	英语
WOS记录号	WOS:A1991MM73600003
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/39364
专题	力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Liu ZR,Cao YL. Discussion on the geometric structure of strange attractor[J]. Chinese Physics Letters,1991,8,10,:503-506.
APA	Liu ZR,&Cao YL.(1991).Discussion on the geometric structure of strange attractor.Chinese Physics Letters,8(10),503-506.
MLA	Liu ZR,et al."Discussion on the geometric structure of strange attractor".Chinese Physics Letters 8.10(1991):503-506.