Phase space properties and chaotic transport for a particle moving in a time dependent step potential well

Detalhes bibliográficos
Autor(a) principal: Da Costa, Diogo Ricardo
Data de Publicação: 2014
Outros Autores: 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.amc.2014.03.021
http://hdl.handle.net/11449/171526
Resumo: Some dynamical properties for an ensemble of non-interacting classical particles along chaotic orbits and transport properties over the chaotic sea for the problem of a step and time dependent potential well are considered. The dynamics of each particle is described by a two-dimensional, nonlinear and area preserving mapping for the variables energy and time. The phase space is of mixed-type and contains periodic islands, a set of invariant KAM curves and chaotic seas. The chaotic orbits are characterized by the use of Lyapunov exponents. Transport over the chaotic sea is considered and scaling exponents are obtained. A sticky region around a chain of periodic islands produces local and temporarily trapping of the dynamics and discussions of the rearrangement of the phase space are made. © 2014 Elsevier B.V. All rights reserved.
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spelling Phase space properties and chaotic transport for a particle moving in a time dependent step potential wellChaosChaotic transportPhase space propertiesStep potential wellSome dynamical properties for an ensemble of non-interacting classical particles along chaotic orbits and transport properties over the chaotic sea for the problem of a step and time dependent potential well are considered. The dynamics of each particle is described by a two-dimensional, nonlinear and area preserving mapping for the variables energy and time. The phase space is of mixed-type and contains periodic islands, a set of invariant KAM curves and chaotic seas. The chaotic orbits are characterized by the use of Lyapunov exponents. Transport over the chaotic sea is considered and scaling exponents are obtained. A sticky region around a chain of periodic islands produces local and temporarily trapping of the dynamics and discussions of the rearrangement of the phase space are made. © 2014 Elsevier B.V. All rights reserved.Instituto de Física da USP, Cidade Universitária, Rua do Matão, Travessa R, 187, 05314-970 São Paulo, SPSchool of Mathematics, University of Bristol, Bristol BS8 1TWDepartamento de Física, UNESP, Univ Estadual Paulista, Av.24A, 1515, Bela Vista, 13506-900 Rio Claro, SPDepartamento de Física, UNESP, Univ Estadual Paulista, Av.24A, 1515, Bela Vista, 13506-900 Rio Claro, SPUniversidade de São Paulo (USP)School of Mathematics, University of BristolUniversidade Estadual Paulista (Unesp)Da Costa, Diogo RicardoCaldas, Iberê L.Leonel, Edson D. [UNESP]2018-12-11T16:55:42Z2018-12-11T16:55:42Z2014-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-228application/pdfhttp://dx.doi.org/10.1016/j.amc.2014.03.021Applied Mathematics and Computation, v. 236, p. 215-228.0096-3003http://hdl.handle.net/11449/17152610.1016/j.amc.2014.03.0212-s2.0-848986058012-s2.0-84898605801.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computation1,065info:eu-repo/semantics/openAccess2023-11-18T06:10:51Zoai:repositorio.unesp.br:11449/171526Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:00:52.665959Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
title Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
spellingShingle Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
Da Costa, Diogo Ricardo
Chaos
Chaotic transport
Phase space properties
Step potential well
title_short Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
title_full Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
title_fullStr Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
title_full_unstemmed Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
title_sort Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
author Da Costa, Diogo Ricardo
author_facet Da Costa, Diogo Ricardo
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author_role author
author2 Caldas, Iberê L.
Leonel, Edson D. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
School of Mathematics, University of Bristol
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Da Costa, Diogo Ricardo
Caldas, Iberê L.
Leonel, Edson D. [UNESP]
dc.subject.por.fl_str_mv Chaos
Chaotic transport
Phase space properties
Step potential well
topic Chaos
Chaotic transport
Phase space properties
Step potential well
description Some dynamical properties for an ensemble of non-interacting classical particles along chaotic orbits and transport properties over the chaotic sea for the problem of a step and time dependent potential well are considered. The dynamics of each particle is described by a two-dimensional, nonlinear and area preserving mapping for the variables energy and time. The phase space is of mixed-type and contains periodic islands, a set of invariant KAM curves and chaotic seas. The chaotic orbits are characterized by the use of Lyapunov exponents. Transport over the chaotic sea is considered and scaling exponents are obtained. A sticky region around a chain of periodic islands produces local and temporarily trapping of the dynamics and discussions of the rearrangement of the phase space are made. © 2014 Elsevier B.V. All rights reserved.
publishDate 2014
dc.date.none.fl_str_mv 2014-06-01
2018-12-11T16:55:42Z
2018-12-11T16:55:42Z
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.amc.2014.03.021
Applied Mathematics and Computation, v. 236, p. 215-228.
0096-3003
http://hdl.handle.net/11449/171526
10.1016/j.amc.2014.03.021
2-s2.0-84898605801
2-s2.0-84898605801.pdf
url http://dx.doi.org/10.1016/j.amc.2014.03.021
http://hdl.handle.net/11449/171526
identifier_str_mv Applied Mathematics and Computation, v. 236, p. 215-228.
0096-3003
10.1016/j.amc.2014.03.021
2-s2.0-84898605801
2-s2.0-84898605801.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
1,065
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 215-228
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
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