Application of the Slater criteria to localize invariant tori in Hamiltonian mappings

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorScience and Technology of South of Minas Gerais - Ifsuldeminas-
Autor(es): dc.creatorHuggler, Yoná H.-
Autor(es): dc.creatorHermes, Joelson D. V.-
Autor(es): dc.creatorLeonel, Edson D.-
Data de aceite: dc.date.accessioned2025-08-21T19:25:02Z-
Data de disponibilização: dc.date.available2025-08-21T19:25:02Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1063/5.0103427-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/245997-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/245997-
Descrição: dc.descriptionWe investigate the localization of invariant spanning curves for a family of two-dimensional area-preserving mappings described by the dynamical variables I and θ by using Slater's criterion. The Slater theorem says there are three different return times for an irrational translation over a circle in a given interval. The returning time, which measures the number of iterations a map needs to return to a given periodic or quasi periodic region, has three responses along an invariant spanning curve. They are related to a continued fraction expansion used in the translation and obey the Fibonacci sequence. The rotation numbers for such curves are related to a noble number, leading to a devil's staircase structure. The behavior of the rotation number as a function of invariant spanning curves located by Slater's criterion resulted in an expression of a power law in which the absolute value of the exponent is equal to the control parameter γ that controls the speed of the divergence of θ in the limit the action I is sufficiently small.-
Descrição: dc.descriptionDepartment of Physics São Paulo State University - Unesp, Av. 24A, 1515 Bela Vista, SP-
Descrição: dc.descriptionFederal Institute of Education Science and Technology of South of Minas Gerais - Ifsuldeminas, Praça Tiradentes 416 - Centro - Inconfidentes, MG-
Descrição: dc.descriptionDepartment of Physics São Paulo State University - Unesp, Av. 24A, 1515 Bela Vista, SP-
Idioma: dc.languageen-
Relação: dc.relationChaos-
???dc.source???: dc.sourceScopus-
Título: dc.titleApplication of the Slater criteria to localize invariant tori in Hamiltonian mappings-
Tipo de arquivo: dc.typelivro digital-
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