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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