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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/76024
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dc.contributor.authorDe Oliveira, Juliano A.-
dc.contributor.authorLeonel, Edson D.-
dc.date.accessioned2014-05-27T11:29:59Z-
dc.date.accessioned2016-10-25T18:51:34Z-
dc.date.available2014-05-27T11:29:59Z-
dc.date.available2016-10-25T18:51:34Z-
dc.date.issued2013-07-23-
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.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/11449/76024-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/76024-
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.format.extent32-39-
dc.language.isoeng-
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.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionAbdus Salam ICTP-
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.identifier.doi10.1016/j.amc.2013.06.045-
dc.identifier.wosWOS:000324579400004-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofApplied Mathematics and Computation-
dc.identifier.scopus2-s2.0-84880322025-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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