Infinite-modal maps with global chaotic behavior
成果类型：
Article
署名作者：
Pacifico, MJ; Rovella, A; Viana, M
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/121002
发表日期：
1998
页码：
441-484
关键词：
摘要：
We prove that certain parametrized families of one-dimensional maps with infinitely many critical points exhibit global chaotic behavior in a persistent way: For a positive Lebesgue measure set of parameter values the map is transitive and almost every orbit has positive Lyapunov exponent. An application of these methods yields a proof of existence and even persistence of global spiral attractors for smooth flows in three dimensions, to be given in [5].