A rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing action

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dc.contributor.authorDe Oliveira, Juliano A. [UNESP]
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionAbdus Salam ICTP
dc.date.accessioned2014-05-27T11:29:59Z
dc.date.available2014-05-27T11:29:59Z
dc.date.issued2013-07-23
dc.description.abstractA rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was made by using the location of the first invariant Kolmogorov-Arnold-Moser (KAM) curve. Average properties of the phase space are shown to be scaling invariant and with different scaling times. Specific values of the control parameters are used to recover the Kepler map and the mapping that describes a particle in a wave packet for the relativistic motion. The phase space observed shows a large chaotic sea surrounding periodic islands and limited by a set of invariant KAM curves whose position of the first of them depends on the control parameters. The transition from local to global chaos is used to estimate the position of the first invariant KAM curve, leading us to confirm that the chaotic sea is scaling invariant. The different scaling times are shown to be dependent on the initial conditions. The universality classes for the Kepler map and mappings with diverging angles in the limit of vanishing action are defined. © 2013 Published by Elsevier Inc. All rights reserved.en
dc.description.affiliationDepartamento de Física UNESP Univ Estadual Paulista, Av. 24A, 1515, 13506-900 Rio Claro, SP
dc.description.affiliationUNESP Univ Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, SP
dc.description.affiliationAbdus Salam ICTP, 34100 Trieste
dc.description.affiliationUnespDepartamento de Física UNESP Univ Estadual Paulista, Av. 24A, 1515, 13506-900 Rio Claro, SP
dc.description.affiliationUnespUNESP Univ Estadual Paulista Câmpus São João da Boa Vista, São João da Boa Vista, SP
dc.format.extent32-39
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2013.06.045
dc.identifier.citationApplied Mathematics and Computation, v. 221, p. 32-39.
dc.identifier.doi10.1016/j.amc.2013.06.045
dc.identifier.issn0096-3003
dc.identifier.lattes6130644232718610
dc.identifier.scopus2-s2.0-84880322025
dc.identifier.urihttp://hdl.handle.net/11449/76024
dc.identifier.wosWOS:000324579400004
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectChaotic sea
dc.subjectInvariant
dc.subjectKAM curve
dc.subjectKepler map
dc.subjectUniversality classes
dc.subjectWave packet
dc.subjectControl parameters
dc.subjectFirst invariants
dc.subjectInitial conditions
dc.subjectSpecific values
dc.subjectUniversality class
dc.subjectMapping
dc.subjectPhase space methods
dc.subjectWave packets
dc.subjectHamiltonians
dc.titleA rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing actionen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.author.lattes6130644232718610
unesp.author.orcid0000-0001-8224-3329[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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