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dc.contributor.authorLlibre, Jaume
dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.authorda Silva, Paulo R. [UNESP]
dc.date.accessioned2014-05-20T14:02:56Z
dc.date.available2014-05-20T14:02:56Z
dc.date.issued2011-11-01
dc.identifierhttp://dx.doi.org/10.1063/1.3657425
dc.identifier.citationJournal of Mathematical Physics. Melville: Amer Inst Physics, v. 52, n. 11, p. 12, 2011.
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/11449/22170
dc.description.abstractIn this paper we study the fourth order differential equation d(4)u/dt(4) + q d(2)u/dt(2) + u(3) - u = 0, which arises from the study of stationary solutions of the Extended Fisher-Kolmogorov equation. Denoting x = u, y = du/dt, z = d(2)u/dt(2), v = d(3)u/dt(3) this equation becomes equivalent to the polynomial system. (x) over dot = y, (y) over dot = z, (z) over dot = v, (v) over dot = x - qz - x(3) with (x, y, z, v) is an element of R(4) and q is an element of R. As usual, the dot denotes the derivative with respect to the time t. Since the system has a first integral we can reduce our analysis to a family of systems on R(3). We provide the global phase portrait of these systems in the Poincare ball (i.e., in the compactification of R(3) with the sphere S(2) of the infinity). (C) 2011 American Institute of Physics. [doi: 10.1063/1.3657425]en
dc.description.sponsorshipMICIIN/FEDER
dc.description.sponsorshipGeneralitat de Catalunya
dc.description.sponsorshipICREA Academia
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.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.format.extent12
dc.language.isoeng
dc.publisherAmerican Institute of Physics (AIP)
dc.relation.ispartofJournal of Mathematical Physics
dc.sourceWeb of Science
dc.titleGlobal dynamics of stationary solutions of the extended Fisher-Kolmogorov equationen
dc.typeArtigo
dcterms.licensehttp://www.aip.org/pubservs/web_posting_guidelines.html
dcterms.rightsHolderAmer Inst Physics
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
dc.description.affiliationUniv Estadual Paulista, FCT, Dept Matemat Estat & Computacao, BR-19060900 São Paulo, Brazil
dc.description.affiliationUniv Estadual Paulista, IBILCE, Dept Matemat, BR-15054000 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, FCT, Dept Matemat Estat & Computacao, BR-19060900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, Dept Matemat, BR-15054000 São Paulo, Brazil
dc.identifier.doi10.1063/1.3657425
dc.identifier.wosWOS:000297938300013
dc.rights.accessRightsAcesso restrito
dc.description.sponsorshipIdMICIIN/FEDER: MTM2008-03437
dc.description.sponsorshipIdGeneralitat de Catalunya: 2009SGR-410
dc.description.sponsorshipIdCNPq: 305204/2009-2
dc.description.sponsorshipIdPHB-2009-0025
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
dc.identifier.fileWOS000297938300013.pdf
dc.identifier.lattes3757225669056317
unesp.author.lattes3757225669056317
unesp.author.orcid0000-0002-9511-5999[1]
unesp.author.orcid0000-0002-1430-5986[3]
unesp.author.orcid0000-0003-2269-7091[2]
dc.relation.ispartofjcr1.165
dc.relation.ispartofsjr0,644
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