Partial hyperbolicity and homoclinic tangencies

被引：27

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

页码：1 / 49

页数：49

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