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Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis

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dc.contributor.authorPalmero, Matheus S. [UNESP]
dc.contributor.authorLivorati, André L.P. [UNESP]
dc.contributor.authorCaldas, IberĂȘ L.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Bristol
dc.contributor.institutionUniversidade de SĂŁo Paulo (USP)
dc.contributor.institutionAbdus Salam International Center for Theoretical Physics
dc.date.accessioned2018-12-11T16:53:37Z
dc.date.available2018-12-11T16:53:37Z
dc.date.issued2018-12-01
dc.description.abstractThe dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance velocity, which plays an important role on the ensemble separation according to the initial velocities. The idea is to use the Lyapunov exponents to study the ensemble separation. We compare two different methods: (i) Finite Time Lyapunov Exponents and (ii) Wolf Linearization Algorithm. Results from both methods show good agreement regarding the separation of ensembles. Our results give support for the fact that stickiness influences the dynamics providing a crucial effect in the ensemble separation of the velocities for the time-dependent stadium-like billiard.en
dc.description.affiliationDepartamento de FĂ­sica UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.description.affiliationSchool of Mathematics University of Bristol
dc.description.affiliationInstituto de FĂ­sica IFUSP - Universidade de SĂŁo Paulo Rua do MatĂŁo Tr.R 187 Cidade UniversitĂĄria
dc.description.affiliationAbdus Salam International Center for Theoretical Physics, Strada Costiera 11
dc.description.affiliationUnespDepartamento de FĂ­sica UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela Vista
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento CientĂ­fico e TecnolĂłgico (CNPq)
dc.description.sponsorshipIdFAPESP: 2011/19296-1
dc.description.sponsorshipIdFAPESP: 2012/00556-6
dc.description.sponsorshipIdFAPESP: 2012/23688-5
dc.description.sponsorshipIdFAPESP: 2014/25316-3
dc.description.sponsorshipIdFAPESP: 2015/26699-6
dc.description.sponsorshipIdFAPESP: 2016/15127-4
dc.description.sponsorshipIdFAPESP: 2017/14414-2
dc.description.sponsorshipIdCNPq: 303707/2015-1
dc.format.extent248-259
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2018.05.024
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, v. 65, p. 248-259.
dc.identifier.dimensionspub.1104257934
dc.identifier.doi10.1016/j.cnsns.2018.05.024
dc.identifier.file2-s2.0-85047851903.pdf
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274
dc.identifier.orcid0000-0003-3211-2560
dc.identifier.orcid0000-0002-1748-0106
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.scopus2-s2.0-85047851903
dc.identifier.urihttp://hdl.handle.net/11449/171070
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso abertopt
dc.sourceScopus
dc.sourceDimensions
dc.titleEnsemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysisen
dc.typeArtigopt
dspace.entity.typePublication

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