Phase space properties and chaotic transport for a particle moving in a time dependent step potential well
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
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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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 |
|
_version_ |
1808128885057912832 |