Recurrence and genericty

• 成果类型: Article
• 署名作者: Bonatti, C; Crovisier, S
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Bourgogne Europe
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-004-0368-1
• 发表日期: 2004
• 页码: 33-104
• 关键词: dynamical-systems; HYPERBOLICITY; dichotomy; STABILITY; points

摘要

We prove a C-1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C-1-generic diffeomorphisms. For instance, C-1-generic conservative diffeomorphisms (on connected manifolds) are transitive(1).