Break-up of invariant curves in the Fermi-Ulam model

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dc.contributor.authorHermes, Joelson D.V. [UNESP]
dc.contributor.authordos Reis, Marcelo A.
dc.contributor.authorCaldas, Iberê L.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionScience and Technology of South of Minas Gerais - IFSULDEMINAS
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionCampinas
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2023-03-01T21:00:52Z
dc.date.available2023-03-01T21:00:52Z
dc.date.issued2022-09-01
dc.description.abstractThe transport of particles in the phase space is investigated in the Fermi-Ulam model. The system consists of a particle confined to move within two rigid walls with which it collides. One is fixed and the other is periodically moving in time. In this work we investigate, for this model, the location of invariant curves that separate chaotic areas in the phase space. Applying the Slater's theorem we verify that the mapping presents a family of invariant spanning curves with a rotation number whose expansion into continued fractions has an infinite tail of the unity, acting as local transport barriers. We study the destruction of such curves and find the critical parameters for that. The determination of the rotation number in the vicinity of one of the considered spanning curves allowed us to understand the dynamics in the vicinity of the considered curve, both before and after criticality. The rotation number profile showed us the fractal character of the region close to the curve, since this profile has a structure similar to a “Devil's Staircase”.en
dc.description.affiliationFederal Institute of Education Science and Technology of South of Minas Gerais - IFSULDEMINAS
dc.description.affiliationDepartamento de Física Universidade Estadual Paulista (UNESP), Campus Rio Claro, Av. 24A, 1515, SP
dc.description.affiliationEscola Preparatória de Cadetes do Exército - EsPCEx Campinas, SP
dc.description.affiliationPhysics Institute University of São Paulo, São Paulo
dc.description.affiliationUnespDepartamento de Física Universidade Estadual Paulista (UNESP), Campus Rio Claro, Av. 24A, 1515, SP
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2018-03211-6
dc.description.sponsorshipIdCNPq: 302665-2017-0
dc.description.sponsorshipIdCNPq: 407299-2018-1
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2022.112410
dc.identifier.citationChaos, Solitons and Fractals, v. 162.
dc.identifier.doi10.1016/j.chaos.2022.112410
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85134748064
dc.identifier.urihttp://hdl.handle.net/11449/241404
dc.language.isoeng
dc.relation.ispartofChaos, Solitons and Fractals
dc.sourceScopus
dc.subjectChaos
dc.subjectHamiltonian systems
dc.subjectMappings
dc.subjectNonlinear dynamics
dc.titleBreak-up of invariant curves in the Fermi-Ulam modelen
dc.typeArtigo

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Artigos - Física - IGCE