Basin problem for Hénon-like attractors in arbitrary dimensions
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
27/05/2014
27/05/2014
01/06/2006
|
| Resumo |
We prove that Hénon-like strange attractors of diffeomorphisms in any dimensions, such as considered in [2],[7], and [9] support a unique Sinai-Ruelle-Bowen (SRB) measure and have the no-hole property: Lebesgue almost every point in the basin of attraction is generic for the SRB measure. This extends two-dimensional results of Benedicks-Young [4] and Benedicks-Viana [3], respectively. |
| Formato |
481-504 |
| Identificador |
http://dx.doi.org/10.3934/dcds.2006.15.481 Discrete and Continuous Dynamical Systems, v. 15, n. 2, p. 481-504, 2006. 1078-0947 http://hdl.handle.net/11449/68906 10.3934/dcds.2006.15.481 WOS:000235664000007 2-s2.0-33745318713 |
| Idioma(s) |
eng |
| Relação |
Discrete and Continuous Dynamical Systems |
| Direitos |
closedAccess |
| Palavras-Chave | #Hénon-like attractor #Non-uniformly hyperbolic system #SRB measure |
| Tipo |
info:eu-repo/semantics/article |
