Statistical properties for a dissipative model of relativistic particles in a wave packet: A parameter space investigation

dc.contributor.authorHansen, Matheus [UNESP]
dc.contributor.authorCosta, Diogo R. da [UNESP]
dc.contributor.authorOliveira, Diego F. M. [UNESP]
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniv Bristol
dc.contributor.institutionIndiana University
dc.contributor.institutionAbdus Salam Int Ctr Theoret Phys
dc.description.abstractSome statistical and dynamical properties for the problem of relativistic charged particles in a wave packet are studied. We show that the introduction of dissipation change the structure of the phase space and attractors appear. Additionally, by changing at least one of the control parameters, the unstable manifold touches the stable manifold of the same saddle fixed point and a boundary crisis occurs. We show that the chaotic attractor is destroyed given place to a transient which follows a power law with exponent -1 when varying the control parameters near the criticalities. On the other hand, by changing at least two control parameters and by using the Lyapunov exponents to classify orbits with chaotic and periodic behaviour, we show the existence of infinite shrimp-shaped domains, which correspond to the periodic attractors, embedded in a region with chaotic behaviour. Finally, we show the first indication of a shrimp in a three dimension parameter space. (C) 2014 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUniv Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, Brazil
dc.description.affiliationUniv Bristol, Sch Math, Bristol, Avon, England
dc.description.affiliationIndiana Univ, Sch Informat & Comp, Ctr Complex Networks & Syst Res, Bloomington, IN 47408 USA
dc.description.affiliationAbdus Salam Int Ctr Theoret Phys, I-34151 Trieste, Italy
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipIdFAPESP: 10/52709-5
dc.description.sponsorshipIdFAPESP: 12/18962-0
dc.description.sponsorshipIdFAPESP: 13/22764-2
dc.description.sponsorshipIdFAPESP: 13/01449-1
dc.description.sponsorshipIdFAPESP: 12/23688-5
dc.identifier.citationApplied Mathematics And Computation. New York: Elsevier Science Inc, v. 238, p. 387-392, 2014.
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics and Computation
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectDissipative mappingen
dc.subjectComplex systemen
dc.titleStatistical properties for a dissipative model of relativistic particles in a wave packet: A parameter space investigationen
dcterms.rightsHolderElsevier B.V.[4]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt