Analysis of invariant spanning curves in oval billiards: A numerical approach based on Slater’s theorem

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorScience and Technology of South of Minas Gerais—IFSULDEMINAS-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade NOVA de Lisboa-
Autor(es): dc.contributorDigital University Kerala-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorHermes, Joelson D. V.-
Autor(es): dc.creatorHansen, Matheus-
Autor(es): dc.creatorMuni, Sishu S.-
Autor(es): dc.creatorLeonel, Edson D.-
Autor(es): dc.creatorCaldas, Iberê Luiz-
Data de aceite: dc.date.accessioned2025-08-21T22:43:02Z-
Data de disponibilização: dc.date.available2025-08-21T22:43:02Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2025-03-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1063/5.0250725-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/309675-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/309675-
Descrição: dc.descriptionThe study of billiards investigates the trajectories of particles that move freely in a region and reflect elastically at boundaries. Although there is already considerable understanding about invariant spanning curves, also known as whispering gallery orbits in the context of billiards, their determination in the phase space of the system, in addition to the analysis of their existence is still an open question. Our proposal is to present a numerical method based on Slater’s theorem, capable of determining the location of these curves in phase space, as well as finding the critical parameter at which these curves are no longer observed. In this work, we apply this method to determine the location of a set of invariant spanning curves in an oval billiard for different parameter values. Furthermore, we identified the critical parameter at which the phase space no longer presents these curves and local chaos becomes global. We compared our numerical results with analytical results present in the literature, proving the effectiveness of the proposed method. By studying the rotation number, we obtain additional information about the behavior of these curves and also of the systems.-
Descrição: dc.descriptionFederal Institute of Education Science and Technology of South of Minas Gerais—IFSULDEMINAS, MG-
Descrição: dc.descriptionPhysics Institute University of São Paulo—USP, SP-
Descrição: dc.descriptionCenter for Mathematics and Applications (NOVA Math) NOVA School of Science and Technology Universidade NOVA de Lisboa, Quinta da Torre-
Descrição: dc.descriptionSchool of Digital Sciences Digital University Kerala, Pallipuram Kerala-
Descrição: dc.descriptionDepartment of Physics São Paulo State University—UNESP, SP-
Descrição: dc.descriptionDepartment of Physics São Paulo State University—UNESP, SP-
Idioma: dc.languageen-
Relação: dc.relationChaos-
???dc.source???: dc.sourceScopus-
Título: dc.titleAnalysis of invariant spanning curves in oval billiards: A numerical approach based on Slater’s theorem-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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