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Julia sets for Fibonacci endomorphisms of (2)

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dc.contributor.authorBonnot, S.
dc.contributor.authorCarvalho, A. de
dc.contributor.authorMessaoudi, A. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2019-10-04T12:31:50Z
dc.date.available2019-10-04T12:31:50Z
dc.date.issued2018-01-01
dc.description.abstractWe study the dynamics of the family f(c)(x, y)= (xy + c, x) of endomorphisms of , where c is a real parameter. We investigate several topological properties of the forward and backward filled Julia sets. Then, through the study of adapted dynamical filtrations of the plane, we prove that for the interval of parameters given by 0 < c <, these two filled Julia sets can be described explicitly as finite unions of invariant manifolds.en
dc.description.affiliationUniv Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2011/12650-4
dc.description.sponsorshipIdFAPESP: 2011/16265-8
dc.description.sponsorshipIdFAPESP: 2011/231991
dc.description.sponsorshipIdFAPESP: 2013/23643-4
dc.description.sponsorshipIdCNPq: 307154/2012-2
dc.description.sponsorshipIdCNPq: 482519/2012-6
dc.format.extent622-645
dc.identifierhttp://dx.doi.org/10.1080/14689367.2017.1417975
dc.identifier.citationDynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 33, n. 4, p. 622-645, 2018.
dc.identifier.doi10.1080/14689367.2017.1417975
dc.identifier.issn1468-9367
dc.identifier.urihttp://hdl.handle.net/11449/185000
dc.identifier.wosWOS:000448734500005
dc.language.isoeng
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofDynamical Systems-an International Journal
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectHolomorphic dynamics
dc.subjectFibonacci maps
dc.subjectfilled Julia sets
dc.titleJulia sets for Fibonacci endomorphisms of (2)en
dc.typeArtigo
dcterms.licensehttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dcterms.rightsHolderTaylor & Francis Ltd
dspace.entity.typePublication
unesp.author.lattes2111365241513122[3]
unesp.author.orcid0000-0003-1703-9414[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática Aplicada - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas