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Publicação:
Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space

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dc.contributor.authorda Costa, Diogo Ricardo [UNESP]
dc.contributor.authorPalmero, Matheus S.
dc.contributor.authorMéndez-Bermúdez, J. A.
dc.contributor.authorIarosz, Kelly C.
dc.contributor.authorSzezech, José D.
dc.contributor.authorBatista, Antonio M.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual de Ponta Grossa (UEPG)
dc.contributor.institutionBenemérita Universidad Autónoma de Puebla
dc.contributor.institutionFederal Technological University of Paraná
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-12T02:16:10Z
dc.date.available2020-12-12T02:16:10Z
dc.date.issued2020-12-01
dc.description.abstractMushroom billiards are formed, generically, by a semicircular hat attached to a rectangular stem. The dynamics of mushroom billiards shows a continuous transition from integrability to chaos. However, between those limits the phase space is sharply divided in two components corresponding to regular and chaotic orbits, in contrast to most mixed phase space billiards. In this paper we show that tilting the hat of a mushroom billiard produces a highly non-trivial (i.e. non-KAM) mixed phase space. Moreover, for small tilting, this phase space shows a web-like hierarchical structure.en
dc.description.affiliationInstitute of Mathematics and Statistics University of São Paulo
dc.description.affiliationPostgraduate program in Science/Physics State University of Ponta Grossa (UEPG)
dc.description.affiliationInstitute of Physics University of São Paulo (USP)
dc.description.affiliationDepartamento de Matemática Aplicada e Estatística Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo - Campus de São Carlos, Caixa Postal 668
dc.description.affiliationInstituto de Física Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48
dc.description.affiliationGraduate Program in Chemical Engineering Federal Technological University of Paraná
dc.description.affiliationDepartament of Mathematics and Statistics State University of Ponta Grossa (UEPG)
dc.description.affiliationDepartamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Campus Rio Claro, Av. 24A, 1515
dc.description.affiliationUnespDepartamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Campus Rio Claro, Av. 24A, 1515
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipVicerrectoría de Investigación y Estudios de Posgrado, Benemérita Universidad Autónoma de Puebla
dc.description.sponsorshipSecretaría de Educación Pública
dc.description.sponsorshipIdVicerrectoría de Investigación y Estudios de Posgrado, Benemérita Universidad Autónoma de Puebla: 100405811-VIEP2019
dc.description.sponsorshipIdFAPESP: 2015/07311-7
dc.description.sponsorshipIdFAPESP: 2018/03000-5
dc.description.sponsorshipIdFAPESP: 2018/03211-6
dc.description.sponsorshipIdFAPESP: 2019/06931-2
dc.description.sponsorshipIdFAPESP: 2020/02415-7
dc.description.sponsorshipIdSecretaría de Educación Pública: 511-6/2019.-11821
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2020.105440
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, v. 91.
dc.identifier.doi10.1016/j.cnsns.2020.105440
dc.identifier.issn1007-5704
dc.identifier.scopus2-s2.0-85088305253
dc.identifier.urihttp://hdl.handle.net/11449/200791
dc.language.isoeng
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.sourceScopus
dc.subjectChaos
dc.subjectMushroom billiards
dc.subjectNonlinear dynamics
dc.titleTilted-hat mushroom billiards: Web-like hierarchical mixed phase spaceen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0002-1748-9901 0000-0002-1748-9901[3]
unesp.author.orcid0000-0001-9134-0753 0000-0001-9134-0753[4]
unesp.author.orcid0000-0002-5899-0591 0000-0002-5899-0591[6]
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