Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis

Detalhes bibliográficos
Autor(a) principal: Palmero, Matheus S. [UNESP]
Data de Publicação: 2018
Outros Autores: Livorati, André L.P. [UNESP], Caldas, Iberê L., Leonel, Edson D. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.cnsns.2018.05.024
http://hdl.handle.net/11449/171070
Resumo: The dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance velocity, which plays an important role on the ensemble separation according to the initial velocities. The idea is to use the Lyapunov exponents to study the ensemble separation. We compare two different methods: (i) Finite Time Lyapunov Exponents and (ii) Wolf Linearization Algorithm. Results from both methods show good agreement regarding the separation of ensembles. Our results give support for the fact that stickiness influences the dynamics providing a crucial effect in the ensemble separation of the velocities for the time-dependent stadium-like billiard.
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spelling Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysisThe dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance velocity, which plays an important role on the ensemble separation according to the initial velocities. The idea is to use the Lyapunov exponents to study the ensemble separation. We compare two different methods: (i) Finite Time Lyapunov Exponents and (ii) Wolf Linearization Algorithm. Results from both methods show good agreement regarding the separation of ensembles. Our results give support for the fact that stickiness influences the dynamics providing a crucial effect in the ensemble separation of the velocities for the time-dependent stadium-like billiard.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela VistaSchool of Mathematics University of BristolInstituto de Física IFUSP - Universidade de São Paulo Rua do Matão Tr.R 187 Cidade UniversitáriaAbdus Salam International Center for Theoretical Physics, Strada Costiera 11Departamento de Física UNESP - Universidade Estadual Paulista, Av. 24A, 1515, Bela VistaFAPESP: 2011/19296-1FAPESP: 2012/00556-6FAPESP: 2012/23688-5FAPESP: 2014/25316-3FAPESP: 2015/26699-6FAPESP: 2016/15127-4FAPESP: 2017/14414-2CNPq: 303707/2015-1Universidade Estadual Paulista (Unesp)University of BristolUniversidade de São Paulo (USP)Abdus Salam International Center for Theoretical PhysicsPalmero, Matheus S. [UNESP]Livorati, André L.P. [UNESP]Caldas, Iberê L.Leonel, Edson D. [UNESP]2018-12-11T16:53:37Z2018-12-11T16:53:37Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article248-259application/pdfhttp://dx.doi.org/10.1016/j.cnsns.2018.05.024Communications in Nonlinear Science and Numerical Simulation, v. 65, p. 248-259.1007-5704http://hdl.handle.net/11449/17107010.1016/j.cnsns.2018.05.0242-s2.0-850478519032-s2.0-85047851903.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Nonlinear Science and Numerical Simulation1,372info:eu-repo/semantics/openAccess2024-01-05T06:24:54Zoai:repositorio.unesp.br:11449/171070Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:11:04.397957Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
title Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
spellingShingle Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
Palmero, Matheus S. [UNESP]
title_short Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
title_full Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
title_fullStr Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
title_full_unstemmed Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
title_sort Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
author Palmero, Matheus S. [UNESP]
author_facet Palmero, Matheus S. [UNESP]
Livorati, André L.P. [UNESP]
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author_role author
author2 Livorati, André L.P. [UNESP]
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
University of Bristol
Universidade de São Paulo (USP)
Abdus Salam International Center for Theoretical Physics
dc.contributor.author.fl_str_mv Palmero, Matheus S. [UNESP]
Livorati, André L.P. [UNESP]
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
description The dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance velocity, which plays an important role on the ensemble separation according to the initial velocities. The idea is to use the Lyapunov exponents to study the ensemble separation. We compare two different methods: (i) Finite Time Lyapunov Exponents and (ii) Wolf Linearization Algorithm. Results from both methods show good agreement regarding the separation of ensembles. Our results give support for the fact that stickiness influences the dynamics providing a crucial effect in the ensemble separation of the velocities for the time-dependent stadium-like billiard.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T16:53:37Z
2018-12-11T16:53:37Z
2018-12-01
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.cnsns.2018.05.024
Communications in Nonlinear Science and Numerical Simulation, v. 65, p. 248-259.
1007-5704
http://hdl.handle.net/11449/171070
10.1016/j.cnsns.2018.05.024
2-s2.0-85047851903
2-s2.0-85047851903.pdf
url http://dx.doi.org/10.1016/j.cnsns.2018.05.024
http://hdl.handle.net/11449/171070
identifier_str_mv Communications in Nonlinear Science and Numerical Simulation, v. 65, p. 248-259.
1007-5704
10.1016/j.cnsns.2018.05.024
2-s2.0-85047851903
2-s2.0-85047851903.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Communications in Nonlinear Science and Numerical Simulation
1,372
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 248-259
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_ 1808129401488932864

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