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Caputo fractional standard map: Scaling invariance analyses

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dc.contributor.authorBorin, Daniel [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2025-04-29T20:08:05Z
dc.date.issued2024-04-01
dc.description.abstractIn this paper, we investigate the scaling invariance of survival probability in the Caputo fractional standard map of the order 1<α<2 considered on a cylinder. We consider relatively large values of the nonlinearity parameter K for which the map is chaotic. The survival probability has a short plateau followed by an exponential decay and is scaling invariant for all considered values of α and K.en
dc.description.affiliationDepartamento de Física Univ. Estadual Paulista - Unesp, Av.24A, 1515, Bela Vista, SP
dc.description.affiliationUnespDepartamento de Física Univ. Estadual Paulista - Unesp, Av.24A, 1515, Bela Vista, SP
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2022/03612-6
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2024.114597
dc.identifier.citationChaos, Solitons and Fractals, v. 181.
dc.identifier.doi10.1016/j.chaos.2024.114597
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85185403503
dc.identifier.urihttps://hdl.handle.net/11449/306989
dc.language.isoeng
dc.relation.ispartofChaos, Solitons and Fractals
dc.sourceScopus
dc.subjectCaputo derivative
dc.subjectEscape of particles
dc.subjectFractional discrete map
dc.subjectFractional standard map
dc.subjectNonlinear dynamics
dc.subjectScaling invariance
dc.subjectScattering properties
dc.subjectSurvival probability
dc.titleCaputo fractional standard map: Scaling invariance analysesen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0002-4098-7730[1]

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