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.
引用
收藏
页码：1641 / 1677
页数：37
相关论文
共 53 条
  • [1] Generic robustness of spectral decompositions
    Abdenur, F
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2003, 36 (02): : 213 - 224
  • [2] ABRAHAM R, 1970, GLOBAL ANAL 1, V14, P5
  • [3] [Anonymous], 1970, Global analysis
  • [4] [Anonymous], 1899, METHODES NOUVELLES M
  • [5] [Anonymous], I HAUTES ETUDES SCI
  • [6] [Anonymous], 1977, LECT NOTES MATH
  • [7] [Anonymous], 2005, Mathematical Physics, III, Encyclopaedia of Mathematical Sciences
  • [8] Generic symplectic dynamics
    Arnaud, MC
    Bonatti, C
    Crovisier, S
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2005, 25 : 1401 - 1436
  • [9] Birkhoff GD., 1935, MEM PONT ACAD SCI NO, V53, P85
  • [10] BIRKOFF GD, COLLECTED MATH PAPER, V2, P530
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