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DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS

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dc.contributor.authorCarvalho, Tiago de [UNESP]
dc.contributor.authorEuzebio, Rodrigo Donizete
dc.contributor.authorLlibre, Jaume
dc.contributor.authorTonon, Durval Jose
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.date.accessioned2018-11-26T16:18:46Z
dc.date.available2018-11-26T16:18:46Z
dc.date.issued2016-01-01
dc.description.abstractUsing the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.en
dc.description.affiliationUNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP, Brazil
dc.description.affiliationIMECC UNICAMP, Dept Matemat, BR-13083970 Campinas, SP, Brazil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationUniv Fed Goias, IME, BR-74001970 Goiania, Go, Brazil
dc.description.affiliationUnespUNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipMINECO/FEDER grant
dc.description.sponsorshipAGAUR grant
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFAPEG-Brazil Project
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipUFG
dc.description.sponsorshipIdFAPESP: 2014/02134-7
dc.description.sponsorshipIdFAPESP: 2013/25828-1
dc.description.sponsorshipIdFAPESP: 2014/185083
dc.description.sponsorshipIdMINECO/FEDER grant: MTM 2008-03437
dc.description.sponsorshipIdMINECO/FEDER grant: MTM2013-40998-P
dc.description.sponsorshipIdAGAUR grant: 20145GR568
dc.description.sponsorshipIdCAPES: 88881.030454/ 2013-01
dc.description.sponsorshipIdFAPEG-Brazil Project: 2012/10 26 7000 803
dc.description.sponsorshipIdCNPq: 478230/2013-3
dc.description.sponsorshipIdCNPq: 443302/2014-6
dc.description.sponsorshipIdUFG: 35796
dc.description.sponsorshipIdUFG: 35798
dc.description.sponsorshipIdUFG: 040393
dc.description.sponsorshipId: FP7-PEOPLE-2012-IRSES 318999
dc.description.sponsorshipId: FP7-PEOPLE-2012-IRSES 316338
dc.description.sponsorshipId: UNAB13-4E-1604
dc.format.extent1-11
dc.identifierhttp://dx.doi.org/10.3934/dcdsb.2016.21.1
dc.identifier.citationDiscrete And Continuous Dynamical Systems-series B. Springfield: Amer Inst Mathematical Sciences-aims, v. 21, n. 1, p. 1-11, 2016.
dc.identifier.doi10.3934/dcdsb.2016.21.1
dc.identifier.issn1531-3492
dc.identifier.urihttp://hdl.handle.net/11449/161008
dc.identifier.wosWOS:000365616600001
dc.language.isoeng
dc.publisherAmer Inst Mathematical Sciences-aims
dc.relation.ispartofDiscrete And Continuous Dynamical Systems-series B
dc.relation.ispartofsjr0,864
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectPeriodic solutions
dc.subjectaveraging theory
dc.subjectquadratic polynomial differential system
dc.subjectchaotic systems
dc.subjectlimit cycles
dc.titleDETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMSen
dc.typeArtigo
dcterms.rightsHolderAmer Inst Mathematical Sciences-aims
dspace.entity.typePublication
unesp.author.orcid0000-0002-9511-5999[3]
unesp.departmentMatemática - FCpt

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