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Sudden changes in chaotic attractors and transient basins in a model for rattling in gearboxes

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dc.contributor.authorde Souza, SLT
dc.contributor.authorCaldas, I. L.
dc.contributor.authorViana, R. L.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal do Paraná (UFPR)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-02-26T17:18:51Z
dc.date.accessioned2014-05-20T14:16:04Z
dc.date.available2014-02-26T17:18:51Z
dc.date.available2014-05-20T14:16:04Z
dc.date.issued2004-07-01
dc.description.abstractWe consider a model for rattling in single-stage gearbox systems with some backlash consisting of two wheels with a sinusoidal driving; the equations of motions are analytically integrated between two impacts of the gear teeth. Just after each impact, a mapping is used to obtain the dynamical variables. We have observed a rich dynamical behavior in such system, by varying its control parameters, and we focus on intermittent switching between laminar oscillations and chaotic bursting, as well as crises, which are sudden changes in the chaotic behavior. The corresponding transient basins in phase space are found to be riddled-like, with a highly interwoven fractal structure. (C) 2004 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv São Paulo, Inst Fis, BR-05315970 São Paulo, Brazil
dc.description.affiliationUniversidade Federal do Paraná (UFPF), Dept Fis, BR-81531990 Curitiba, Parana, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Estatist Matemat Aplicada & Computac, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Estatist Matemat Aplicada & Computac, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent763-772
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2003.12.096
dc.identifier.citationChaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V., v. 21, n. 3, p. 763-772, 2004.
dc.identifier.doi10.1016/j.chaos.2003.12.096
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/11449/24830
dc.identifier.wosWOS:000220278400023
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.ispartofjcr2.213
dc.relation.ispartofsjr0,678
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleSudden changes in chaotic attractors and transient basins in a model for rattling in gearboxesen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas