Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin

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dc.contributor.authorBuzzi, Claudio A. [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.authorMedrado, João C. R.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversitat Autónoma de Barcelona
dc.contributor.institutionIME-UFG
dc.date.accessioned2022-04-28T18:59:41Z
dc.date.available2022-04-28T18:59:41Z
dc.date.issued2009-12-01
dc.description.abstractIn this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.en
dc.description.affiliationUNESP-IBILCE, Rua C. Colombo, 2265, 15054-000 S. J. Rio Preto
dc.description.affiliationDepartament de Matemátiques Universitat Autónoma de Barcelona, 08193 Bellaterra, Barcelona
dc.description.affiliationIME-UFG, Campus Samambaia, CP 131, 74001-970, Goîania
dc.description.affiliationUnespUNESP-IBILCE, Rua C. Colombo, 2265, 15054-000 S. J. Rio Preto
dc.description.sponsorshipMountain Equipment Co-op
dc.description.sponsorshipIdMountain Equipment Co-op: 2005-06098-C02-01
dc.format.extent369-403
dc.identifierhttp://dx.doi.org/10.1007/s12346-008-0021-2
dc.identifier.citationQualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.
dc.identifier.doi10.1007/s12346-008-0021-2
dc.identifier.issn1575-5460
dc.identifier.issn1662-3592
dc.identifier.scopus2-s2.0-84896693681
dc.identifier.urihttp://hdl.handle.net/11449/220102
dc.language.isoeng
dc.relation.ispartofQualitative Theory of Dynamical Systems
dc.sourceScopus
dc.subjectCubic vector fields
dc.subjectPhase portrait
dc.subjectReversible vector fields
dc.titlePhase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the originen
dc.typeArtigo

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