A bouncing ball model with two nonlinearities: a prototype for Fermi acceleration

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dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.authorSilva, Mario Roberto [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:27Z
dc.date.accessioned2014-05-20T14:16:19Z
dc.date.available2013-09-30T18:50:27Z
dc.date.available2014-05-20T14:16:19Z
dc.date.issued2008-01-11
dc.description.abstractSome dynamical properties of a bouncing ball model under the presence of an external force modelled by two nonlinear terms are studied. The description of the model is made by the use of a two-dimensional nonlinear measure-preserving map on the variable's velocity of the particle and time. We show that raising the straight of a control parameter which controls one of the nonlinearities, the positive Lyapunov exponent decreases in the average and suffers abrupt changes. We also show that for a specific range of control parameters, the model exhibits the phenomenon of Fermi acceleration. The explanation of both behaviours is given in terms of the shape of the external force and due to a discontinuity of the moving wall's velocity.en
dc.description.affiliationUniv Estadual Paulista, IGCE, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, IGCE, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.format.extent13
dc.identifierhttp://dx.doi.org/10.1088/1751-8113/41/1/015104
dc.identifier.citationJournal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 41, n. 1, p. 13, 2008.
dc.identifier.doi10.1088/1751-8113/41/1/015104
dc.identifier.issn1751-8113
dc.identifier.lattes6130644232718610
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttp://hdl.handle.net/11449/24911
dc.identifier.wosWOS:000252909000011
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.relation.ispartofjcr1.963
dc.relation.ispartofsjr0,843
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleA bouncing ball model with two nonlinearities: a prototype for Fermi accelerationen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/info/page/openaccess
dcterms.rightsHolderIop Publishing Ltd
unesp.author.lattes6130644232718610[1]
unesp.author.orcid0000-0001-8224-3329[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE