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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/129047
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dc.contributor.authorCosta, Diogo Ricardo da-
dc.contributor.authorDettmann, Carl P.-
dc.contributor.authorOliveira, Juliano A. de-
dc.contributor.authorLeonel, Edson D.-
dc.date.accessioned2015-10-21T20:16:09Z-
dc.date.accessioned2016-10-25T21:08:14Z-
dc.date.available2015-10-21T20:16:09Z-
dc.date.available2016-10-25T21:08:14Z-
dc.date.issued2015-03-01-
dc.identifierhttp://scitation.aip.org/content/aip/journal/chaos/25/3/10.1063/1.4915474-
dc.identifier.citationChaos, v. 25, n. 3, p. 1-9, 2015.-
dc.identifier.issn1054-1500-
dc.identifier.urihttp://hdl.handle.net/11449/129047-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/129047-
dc.description.abstractSome dynamical properties for an oval billiard with a scatterer in its interior are studied. The dynamics consists of a classical particle colliding between an inner circle and an external boundary given by an oval, elliptical, or circle shapes, exploring for the first time some natural generalizations. The billiard is indeed a generalization of the annular billiard, which is of strong interest for understanding marginally unstable periodic orbits and their role in the boundary between regular and chaotic regions in both classical and quantum (including experimental) systems. For the oval billiard, which has a mixed phase space, the presence of an obstacle is an interesting addition. We demonstrate, with details, how to obtain the equations of the mapping, and the changes in the phase space are discussed. We study the linear stability of some fixed points and show both analytically and numerically the occurrence of direct and inverse parabolic bifurcations. Lyapunov exponents and generalized bifurcation diagrams are obtained. Moreover, histograms of the number of successive iterations for orbits that stay in a cusp are studied. These histograms are shown to be scaling invariant when changing the radius of the scatterer, and they have a power law slope around -3. The results here can be generalized to other kinds of external boundaries. (C) 2015 AIP Publishing LLC.en
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.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)-
dc.format.extent1-9-
dc.language.isoeng-
dc.publisherAmer Inst Physics-
dc.sourceWeb of Science-
dc.titleDynamics of classical particles in oval or elliptic billiards with a dispersing mechanismen
dc.typeoutro-
dc.contributor.institutionUniversidade de São Paulo (USP)-
dc.contributor.institutionUniversity Bristol-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationUniv Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, Brazil-
dc.description.affiliationUniv Bristol, Sch Math, Bristol, Avon, England-
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Dept Física, BR-13506900 Rio Claro, SP, Brazil-
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Sao Joao Da Boa Vista, SP, Brazil-
dc.description.sponsorshipIdFAPESP: 2010/52709-5-
dc.description.sponsorshipIdFAPESP: 2012/18962-0-
dc.description.sponsorshipIdFAPESP: 2013/22764-2-
dc.description.sponsorshipIdFAPESP: 2012/23688-5-
dc.description.sponsorshipIdFAPESP: 2014/18672-8-
dc.identifier.doihttp://dx.doi.org/10.1063/1.4915474-
dc.identifier.wosWOS:000352314600010-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofChaos-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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