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THE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING

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dc.contributor.authorDe Oliveira, Juliano A. [UNESP]
dc.contributor.authorLeonel, Edson Denis [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:21Z
dc.date.accessioned2014-05-20T14:16:15Z
dc.date.available2013-09-30T18:50:21Z
dc.date.available2014-05-20T14:16:15Z
dc.date.issued2012-10-01
dc.description.abstractThe influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta which denotes the amount of the dissipation. It is shown that for different values of gamma the structure of the phase space of the nondissipative model is replaced by a large number of attractors. The approach to the attracting fixed point is characterized both analytically and numerically. The attracting fixed point exhibits a very complicated basin of attraction.en
dc.description.affiliationUNESP Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Estat Matemat Aplicada & Computacao, 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.format.extent8
dc.identifierhttp://dx.doi.org/10.1142/S0218127412502483
dc.identifier.citationInternational Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 22, n. 10, p. 8, 2012.
dc.identifier.doi10.1142/S0218127412502483
dc.identifier.issn0218-1274
dc.identifier.lattes6130644232718610
dc.identifier.orcid0000-0001-8224-3329
dc.identifier.urihttp://hdl.handle.net/11449/24890
dc.identifier.wosWOS:000310881300020
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Bifurcation and Chaos
dc.relation.ispartofjcr1.501
dc.relation.ispartofsjr0,568
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectDissipationen
dc.subjectattracting fixed pointen
dc.subjectbasin of attractionen
dc.titleTHE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPINGen
dc.typeArtigo
dcterms.licensehttp://www.worldscientific.com/page/authors/author-rights
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.author.lattes6130644232718610[2]
unesp.author.orcid0000-0001-8224-3329[2]
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