Publicação:
Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.authorReinol, Alisson de Carvalho [UNESP]
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-10-21T20:52:39Z
dc.date.available2015-10-21T20:52:39Z
dc.date.issued2015-01-01
dc.description.abstractWe give the normal forms of all polynomial differential systems in R-3 which have a nondegenerate or degenerate quadric as an invariant algebraic surface. We also characterize among these systems those which have a Darboux invariant constructed uniquely using the invariant quadric, giving explicitly their expressions. As an example, we apply the obtained results in the determination of the Darboux invariants for the Chen system with an invariant quadric.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationUNESP Univ Estadual Paulista, Fac Ciencias &Tecnol, Dept Matemat &Comp, Sao Paulo, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Fac Ciencias &Tecnol, Dept Matemat &Comp, Sao Paulo, Brazil
dc.description.sponsorshipMINECO/FEDER
dc.description.sponsorshipAGAUR
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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.sponsorshipIdMINECO/FEDER: MTM2008-03437
dc.description.sponsorshipIdMINECO/FEDER: MTM201340998-P
dc.description.sponsorshipIdAGAUR: 2013SGR-568
dc.description.sponsorshipIdCAPES: 88881.030454/2013-01
dc.description.sponsorshipIdCNPq: 308315/2012-0
dc.description.sponsorshipIdFAPESP: 12/18413-7
dc.description.sponsorshipIdFAPESP: 2013/01743-7
dc.description.sponsorshipId: PHB-2009-0025
dc.format.extent16
dc.identifierhttp://www.worldscientific.com/doi/abs/10.1142/S0218127415500157
dc.identifier.citationInternational Journal Of Bifurcation And Chaos, v. 25, n. 1, p. 16, 2015.
dc.identifier.doi10.1142/S0218127415500157
dc.identifier.issn0218-1274
dc.identifier.lattes3757225669056317
dc.identifier.urihttp://hdl.handle.net/11449/129339
dc.identifier.wosWOS:000349227400017
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.subjectPolynomial differential systemsen
dc.subjectinvariant quadricen
dc.subjectDarboux integrabilityen
dc.subjectDarboux invarianten
dc.titleNormal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invarianten
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.author.lattes3757225669056317
unesp.author.orcid0000-0002-9511-5999[1]
unesp.author.orcid0000-0003-2269-7091[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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Presidente Prudente - FCT - Faculdade de Ciências e Tecnologia