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

• 成果类型: Article
• 署名作者: Crovisier, Sylvain
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.1641
• 发表日期: 2010
• 页码: 1641-1677
• 关键词: conservative systems; closing lemma; points; diffeomorphisms; bifurcations; tangencies; MANIFOLDS; EXISTENCE; density; Orbits

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.