Publicação: Basin problem for Hénon-like attractors in arbitrary dimensions
dc.contributor.author | Horita, Vanderlei [UNESP] | |
dc.contributor.author | Muniz, Nlvaldo | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Universidade Federal do Maranhão (UFMA) | |
dc.date.accessioned | 2014-05-27T11:21:52Z | |
dc.date.available | 2014-05-27T11:21:52Z | |
dc.date.issued | 2006-06-01 | |
dc.description.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. | en |
dc.description.affiliation | Departamento de Matemática IBILCE UNESP, Rua Cristovao Colombo, 2265, 15055-S. J. Rio Preto, SP | |
dc.description.affiliation | Departamento de Matemática UFMA, Avenida dos Portugueses, S/N, 65000-000 São Luís, MA | |
dc.description.affiliationUnesp | Departamento de Matemática IBILCE UNESP, Rua Cristovao Colombo, 2265, 15055-S. J. Rio Preto, SP | |
dc.format.extent | 481-504 | |
dc.identifier | http://dx.doi.org/10.3934/dcds.2006.15.481 | |
dc.identifier.citation | Discrete and Continuous Dynamical Systems, v. 15, n. 2, p. 481-504, 2006. | |
dc.identifier.doi | 10.3934/dcds.2006.15.481 | |
dc.identifier.issn | 1078-0947 | |
dc.identifier.orcid | 0000-0002-9304-0655 | |
dc.identifier.scopus | 2-s2.0-33745318713 | |
dc.identifier.uri | http://hdl.handle.net/11449/68906 | |
dc.identifier.wos | WOS:000235664000007 | |
dc.language.iso | eng | |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems | |
dc.relation.ispartofjcr | 0.976 | |
dc.relation.ispartofsjr | 1,592 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Scopus | |
dc.subject | Hénon-like attractor | |
dc.subject | Non-uniformly hyperbolic system | |
dc.subject | SRB measure | |
dc.title | Basin problem for Hénon-like attractors in arbitrary dimensions | en |
dc.type | Artigo | |
dcterms.license | http://aimsciences.org/journals/tex-sample/CopyRightAgreement.pdf | |
dspace.entity.type | Publication | |
unesp.author.orcid | 0000-0002-9304-0655[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática - IBILCE | pt |