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	ON THE HYPERBOLICITY OF HOMOCLINIC CLASSES
	Bonatti, Christian ; Gan, Shaobo ; Yang, Dawei
	2009
关键词	homoclinic class hyperbolic time shadowing lemma C-1 STABILITY CONJECTURE SATISFY AXIOM DIFFEOMORPHISMS LEMMA TANGENCIES SYSTEMS SINKS FLOWS
英文摘要	We give a sufficient criterion for the hyperbolicity of a homoclinic class. More precisely, if the homoclinic class H(p) admits a partially hyperbolic splitting T-H(p) M = E-s circle plus(<) F, where E-s is uniformly contracting and dim E-s = ind(p), and all periodic points homoclinically related with p are uniformly E-u-expanding at the period, then H(p) is hyperbolic. We also give some consequences of this result.; Mathematics, Applied; Mathematics; SCI(E); 8; ARTICLE; 4; 1143-1162; 25
语种	英语
出处	SCI
出版者	discrete and continuous dynamical systems
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/396140]
专题	数学科学学院
推荐引用方式 GB/T 7714	Bonatti, Christian,Gan, Shaobo,Yang, Dawei. ON THE HYPERBOLICITY OF HOMOCLINIC CLASSES. 2009-01-01.

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