Locating invariant tori for a family of two-dimensional Hamiltonian mappings

Detalhes bibliográficos
Autor(a) principal: De Oliveira, Juliano A. [UNESP]
Data de Publicação: 2011
Outros Autores: 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.physa.2011.06.040
http://hdl.handle.net/11449/72746
Resumo: The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an exponent γ in one of the dynamical variables, a connection with the standard mapping near a transition from local to global chaos is used to estimate the position of the invariant tori limiting the size of the chaotic sea for different values of the parameter γ. © 2011 Elsevier B.V. All rights reserved.
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spelling Locating invariant tori for a family of two-dimensional Hamiltonian mappingsChaosCritical exponentsScaling lawsChaotic seaCritical exponentDynamical variablesInvariant toriMixed phasePhase spacesHamiltoniansPhase space methodsTwo dimensionalMappingThe location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an exponent γ in one of the dynamical variables, a connection with the standard mapping near a transition from local to global chaos is used to estimate the position of the invariant tori limiting the size of the chaotic sea for different values of the parameter γ. © 2011 Elsevier B.V. All rights reserved.Departamento de Estatística Matemat. Apl. e ComputaoInstituto de Geociências e Ciências Exatas UNESP Univ Estadual Paulista, Av.24A, 1515Bela Vista, CEP: 13506-900 Rio Claro SPDepartamento de Estatística Matemat. Apl. e ComputaoInstituto de Geociências e Ciências Exatas UNESP Univ Estadual Paulista, Av.24A, 1515Bela Vista, CEP: 13506-900 Rio Claro SPUniversidade Estadual Paulista (Unesp)De Oliveira, Juliano A. [UNESP]Leonel, Edson D. [UNESP]2014-05-27T11:26:05Z2014-05-27T11:26:05Z2011-10-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3727-3731application/pdfhttp://dx.doi.org/10.1016/j.physa.2011.06.040Physica A: Statistical Mechanics and its Applications, v. 390, n. 21-22, p. 3727-3731, 2011.0378-4371http://hdl.handle.net/11449/7274610.1016/j.physa.2011.06.0402-s2.0-800549161822-s2.0-80054916182.pdf6130644232718610Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysica A: Statistical Mechanics and Its Applications2.1320,773info:eu-repo/semantics/openAccess2023-11-07T06:15:02Zoai:repositorio.unesp.br:11449/72746Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:06:39.087313Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Locating invariant tori for a family of two-dimensional Hamiltonian mappings
title Locating invariant tori for a family of two-dimensional Hamiltonian mappings
spellingShingle Locating invariant tori for a family of two-dimensional Hamiltonian mappings
De Oliveira, Juliano A. [UNESP]
Chaos
Critical exponents
Scaling laws
Chaotic sea
Critical exponent
Dynamical variables
Invariant tori
Mixed phase
Phase spaces
Hamiltonians
Phase space methods
Two dimensional
Mapping
title_short Locating invariant tori for a family of two-dimensional Hamiltonian mappings
title_full Locating invariant tori for a family of two-dimensional Hamiltonian mappings
title_fullStr Locating invariant tori for a family of two-dimensional Hamiltonian mappings
title_full_unstemmed Locating invariant tori for a family of two-dimensional Hamiltonian mappings
title_sort Locating invariant tori for a family of two-dimensional Hamiltonian mappings
author De Oliveira, Juliano A. [UNESP]
author_facet De Oliveira, Juliano A. [UNESP]
Leonel, Edson D. [UNESP]
author_role author
author2 Leonel, Edson D. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv De Oliveira, Juliano A. [UNESP]
Leonel, Edson D. [UNESP]
dc.subject.por.fl_str_mv Chaos
Critical exponents
Scaling laws
Chaotic sea
Critical exponent
Dynamical variables
Invariant tori
Mixed phase
Phase spaces
Hamiltonians
Phase space methods
Two dimensional
Mapping
topic Chaos
Critical exponents
Scaling laws
Chaotic sea
Critical exponent
Dynamical variables
Invariant tori
Mixed phase
Phase spaces
Hamiltonians
Phase space methods
Two dimensional
Mapping
description The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an exponent γ in one of the dynamical variables, a connection with the standard mapping near a transition from local to global chaos is used to estimate the position of the invariant tori limiting the size of the chaotic sea for different values of the parameter γ. © 2011 Elsevier B.V. All rights reserved.
publishDate 2011
dc.date.none.fl_str_mv 2011-10-15
2014-05-27T11:26:05Z
2014-05-27T11:26:05Z
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.physa.2011.06.040
Physica A: Statistical Mechanics and its Applications, v. 390, n. 21-22, p. 3727-3731, 2011.
0378-4371
http://hdl.handle.net/11449/72746
10.1016/j.physa.2011.06.040
2-s2.0-80054916182
2-s2.0-80054916182.pdf
6130644232718610
url http://dx.doi.org/10.1016/j.physa.2011.06.040
http://hdl.handle.net/11449/72746
identifier_str_mv Physica A: Statistical Mechanics and its Applications, v. 390, n. 21-22, p. 3727-3731, 2011.
0378-4371
10.1016/j.physa.2011.06.040
2-s2.0-80054916182
2-s2.0-80054916182.pdf
6130644232718610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physica A: Statistical Mechanics and Its Applications
2.132
0,773
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3727-3731
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_ 1808128757281587200

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