Bifurcation analysis of a new Lorenz-like chaotic system

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dc.contributor.authorMello, L. F.
dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.authorBraga, D. C.
dc.contributor.institutionUniversidade Federal de Itajubá (UNIFEI)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:23:32Z
dc.date.available2014-05-20T13:23:32Z
dc.date.issued2008-08-01
dc.description.abstractIn this paper we study the local codimension one and two bifurcations which occur in a family of three-dimensional vector fields depending on three parameters. An equivalent family, depending on five parameters, was recently proposed as a new chaotic system with a Lorenz-like butterfly shaped attractor and was studied mainly from a numerical point of view, for particular values of the parameters, for which computational evidences of the chaotic attractor was shown. In order to contribute to the understand of this new system we present an analytical study and the bifurcation diagrams of an equivalent three parameter system, showing the qualitative changes in the dynamics of its solutions, for different values of the parameters. (C) 2007 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniversidade Federal de Itajubá (UNIFEI), Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUNESP, Fac Ciencias & Tecnol, Dept Matemat Estat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniversidade Federal de Itajubá (UNIFEI), Inst Sistemas Eletr & Energia, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUnespUNESP, Fac Ciencias & Tecnol, Dept Matemat Estat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.format.extent1244-1255
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2007.11.008
dc.identifier.citationChaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V. Ltd, v. 37, n. 4, p. 1244-1255, 2008.
dc.identifier.doi10.1016/j.chaos.2007.11.008
dc.identifier.issn0960-0779
dc.identifier.lattes3757225669056317
dc.identifier.urihttp://hdl.handle.net/11449/7111
dc.identifier.wosWOS:000255890200031
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.ispartofjcr2.213
dc.relation.ispartofsjr0,678
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleBifurcation analysis of a new Lorenz-like chaotic systemen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd
unesp.author.lattes3757225669056317
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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