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Escape through a time-dependent hole in the doubling map

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dc.contributor.authorLivorati, André L. P.
dc.contributor.authorGeorgiou, Orestis
dc.contributor.authorDettmann, Carl P.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionSchool of Mathematics, University of Bristol
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:55:53Z
dc.date.available2018-12-11T16:55:53Z
dc.date.issued2014-05-23
dc.description.abstractWe investigate the escape dynamics of the doubling map with a time-periodic hole. Ulam's method was used to calculate the escape rate as a function of the control parameters. We consider two cases, oscillating or breathing holes, where the sides of the hole are moving in or out of phase respectively. We find out that the escape rate is well described by the overlap of the hole with its images, for holes centered at periodic orbits. © 2014 American Physical Society.en
dc.description.affiliationInstituto de Física, IFUSP, Universidade de São Paulo, USP, Rua do Matão, Tr.R 187, Cidade Universitária, 05314-970, São Paulo, SP
dc.description.affiliationSchool of Mathematics, University of Bristol, Bristol BS8 1TW
dc.description.affiliationDepartamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio-Claro, SP
dc.description.affiliationUnespDepartamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista, 13506-900, Rio-Claro, SP
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.89.052913
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 89, n. 5, 2014.
dc.identifier.doi10.1103/PhysRevE.89.052913
dc.identifier.file2-s2.0-84901348462.pdf
dc.identifier.issn1550-2376
dc.identifier.issn1539-3755
dc.identifier.scopus2-s2.0-84901348462
dc.identifier.urihttp://hdl.handle.net/11449/171570
dc.language.isoeng
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleEscape through a time-dependent hole in the doubling mapen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentFísica - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas