Homoclinic tangencies and hyperbolicity for surface diffeomorphisms

• 成果类型: Article
• 署名作者: Pujals, ER; Sambarino, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121127
• 发表日期: 2000
• 页码: 961-1023
• 关键词: strange attractors; DYNAMICS

摘要

We prove here that in the complement of the closure of the hyperbolic surface diffeomorphisms, the ones exhibiting a homoclinic tangency are C-1 dense. This represents a step towards the global understanding of dynamics of surface diffeomorphisms.