Partial hyperbolicity and homoclinic tangencies

被引：29
作者：
Crovisier, Sylvain [1 ]
Sambarino, Martin [2 ]
Yang, Dawei [3 ]
机构：
[1] Univ Paris 11, CNRS, Lab Math Orsay, UMR 8628, Bat 425, F-91405 Orsay, France
[2] Univ Republica, Fac Ciencias, CMAT, Montevideo 11400, Uruguay
[3] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 01期
关键词：
Homoclinic tangency; heterodimensional cycle; hyperbolic diffeomorphism; generic dynamics; homoclinic class; partial hyperbolicity; ENTROPY; STABILITY; SETS;
D O I：
10.4171/JEMS/497
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that any diffeomorphism of a compact manifold can be C-1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.
引用
收藏
页码：1 / 49
页数：49
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