Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio [UNESP]
Data de Publicação: 2020
Outros Autores: Llibre, Jaume, Santana, Paulo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physd.2020.132673
http://hdl.handle.net/11449/199257
Resumo: We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann–Robertson–Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits, parameterized by the values of the Hamiltonian, which born at the equilibrium point localized at the origin of coordinates. The main tool for finding analytically these families of periodic orbits is the averaging theory for computing periodic orbits adapted to the Hamiltonian systems. The technique here used can be applied to arbitrary Hamiltonian systems.
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spelling Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinatesAveraging theoryFamilies of periodic orbitsGeneralized Friedmann–Robertson–Walker HamiltonianHamiltonian systemsWe provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann–Robertson–Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits, parameterized by the values of the Hamiltonian, which born at the equilibrium point localized at the origin of coordinates. The main tool for finding analytically these families of periodic orbits is the averaging theory for computing periodic orbits adapted to the Hamiltonian systems. The technique here used can be applied to arbitrary Hamiltonian systems.Ministerio de Economía, Industria y Competitividad, Gobierno de EspañaAgència de Gestió d'Ajuts Universitaris i de RecercaFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)H2020 European Research CouncilAgencia Estatal de InvestigaciónIBILCE–UNESP, CEP 15054–000, S. J. Rio PretoUniversitat Autònoma de BarcelonaIBILCE–UNESP, CEP 15054–000, S. J. Rio PretoAgència de Gestió d'Ajuts Universitaris i de Recerca: 2017SGR1617FAPESP: 2018/23194-9FAPESP: 2019/10269-3FAPESP: 2019/21446-3CNPq: 304798/2019-3CAPES: 88881.068462/2014-01H2020 European Research Council: MSCA-RISE-2017-777911Agencia Estatal de Investigación: MTM2016-77278-PUniversidade Estadual Paulista (Unesp)Universitat Autònoma de BarcelonaBuzzi, Claudio [UNESP]Llibre, JaumeSantana, Paulo [UNESP]2020-12-12T01:34:56Z2020-12-12T01:34:56Z2020-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.physd.2020.132673Physica D: Nonlinear Phenomena, v. 413.0167-2789http://hdl.handle.net/11449/19925710.1016/j.physd.2020.1326732-s2.0-8508943558266828677607174450000-0003-2037-8417Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysica D: Nonlinear Phenomenainfo:eu-repo/semantics/openAccess2024-01-08T06:26:19Zoai:repositorio.unesp.br:11449/199257Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-08T06:26:19Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
title Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
spellingShingle Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
Buzzi, Claudio [UNESP]
Averaging theory
Families of periodic orbits
Generalized Friedmann–Robertson–Walker Hamiltonian
Hamiltonian systems
title_short Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
title_full Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
title_fullStr Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
title_full_unstemmed Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
title_sort Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
author Buzzi, Claudio [UNESP]
author_facet Buzzi, Claudio [UNESP]
Llibre, Jaume
Santana, Paulo [UNESP]
author_role author
author2 Llibre, Jaume
Santana, Paulo [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
dc.contributor.author.fl_str_mv Buzzi, Claudio [UNESP]
Llibre, Jaume
Santana, Paulo [UNESP]
dc.subject.por.fl_str_mv Averaging theory
Families of periodic orbits
Generalized Friedmann–Robertson–Walker Hamiltonian
Hamiltonian systems
topic Averaging theory
Families of periodic orbits
Generalized Friedmann–Robertson–Walker Hamiltonian
Hamiltonian systems
description We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann–Robertson–Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits, parameterized by the values of the Hamiltonian, which born at the equilibrium point localized at the origin of coordinates. The main tool for finding analytically these families of periodic orbits is the averaging theory for computing periodic orbits adapted to the Hamiltonian systems. The technique here used can be applied to arbitrary Hamiltonian systems.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:34:56Z
2020-12-12T01:34:56Z
2020-12-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.physd.2020.132673
Physica D: Nonlinear Phenomena, v. 413.
0167-2789
http://hdl.handle.net/11449/199257
10.1016/j.physd.2020.132673
2-s2.0-85089435582
6682867760717445
0000-0003-2037-8417
url http://dx.doi.org/10.1016/j.physd.2020.132673
http://hdl.handle.net/11449/199257
identifier_str_mv Physica D: Nonlinear Phenomena, v. 413.
0167-2789
10.1016/j.physd.2020.132673
2-s2.0-85089435582
6682867760717445
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physica D: Nonlinear Phenomena
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965557965979648

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