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ON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMS

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dc.contributor.authorEl Abdalaoui, El Houcein
dc.contributor.authorBonnot, Sylvain
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.authorSester, Olivier
dc.contributor.institutionUniv Rouen
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Paris Est
dc.date.accessioned2018-11-26T16:18:46Z
dc.date.available2018-11-26T16:18:46Z
dc.date.issued2016-05-01
dc.description.abstractWe consider in this paper a sequence of complex analytic functions constructed by the following procedure integral(n) (z) = integral(n-1) (z) integral(n-2) (z) + c, where c is an element of C is a parameter. Our aim is to give a thorough dynamical study of this family, in particular we are able to extend the familiar notions of Julia sets and Green function and to analyze their properties. As a consequence, we extend some well-known results. Finally we study in detail the case where c is small.en
dc.description.affiliationUniv Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, France
dc.description.affiliationUniv Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUniv Paris Est, UMR 8050, CNRS, UPEMLV, F-77454 Marne La Vallee, France
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipCooperation Brasil-France
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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.sponsorshipIdCAPES: 661/10
dc.description.sponsorshipIdFAPESP: 2011/12 650-4
dc.description.sponsorshipIdCNPq: 305939/2009-2
dc.description.sponsorshipIdCNPq: 482519/2012-6
dc.description.sponsorshipIdFAPESP: 2007/06896-5
dc.description.sponsorshipIdFAPESP: 2011/23199-1
dc.description.sponsorshipIdFAPESP: 2013/24541-0
dc.format.extent2449-2471
dc.identifierhttp://dx.doi.org/10.3934/dcds.2016.36.2449
dc.identifier.citationDiscrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences-aims, v. 36, n. 5, p. 2449-2471, 2016.
dc.identifier.doi10.3934/dcds.2016.36.2449
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/11449/161007
dc.identifier.wosWOS:000365616000005
dc.language.isoeng
dc.publisherAmer Inst Mathematical Sciences-aims
dc.relation.ispartofDiscrete And Continuous Dynamical Systems
dc.relation.ispartofsjr1,592
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectJulia sets
dc.subjectcomplex dynamics
dc.subjectholomorphic motion
dc.subjectquasi-circle
dc.subjectendomorphisms of C-2
dc.titleON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMSen
dc.typeArtigo
dcterms.rightsHolderAmer Inst Mathematical Sciences-aims
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 - IBILCEpt

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