Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems

被引：28
作者：
Crovisier, Sylvain [1 ]
机构：
[1] Univ Paris 13, Inst Galilee, CNRS, Lab Anal Geometrie & Applicat,UMR 7539, F-93430 Villetaneuse, France
来源：
ANNALS OF MATHEMATICS | 2010年 / 172卷 / 03期
关键词：
CONSERVATIVE SYSTEMS; CLOSING LEMMA; POINTS; DIFFEOMORPHISMS; BIFURCATIONS; TANGENCIES; MANIFOLDS; EXISTENCE; DENSITY; ORBITS;
D O I：
10.4007/annals.2010.172.1641
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a conjecture of J. Palis: Any diffeomorphism of a compact manifold can be C-1-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection.
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收藏
页码：1641 / 1677
页数：37
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