Basin problem for Hénon-like attractors in arbitrary dimensions

Horita, Vanderlei; Muniz, Nlvaldo

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/68906

Title:

Basin problem for Hénon-like attractors in arbitrary dimensions

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Federal do Maranhão (UFMA)

ISSN:

1078-0947

Abstract:

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.

Issue Date:

1-Jun-2006

Citation:

Discrete and Continuous Dynamical Systems, v. 15, n. 2, p. 481-504, 2006.

Time Duration:

481-504

Keywords:

Hénon-like attractor
Non-uniformly hyperbolic system
SRB measure

Source:

http://dx.doi.org/10.3934/dcds.2006.15.481

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/68906

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