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dc.contributor.authorGiacomini, Héctor
dc.contributor.authorGiné, Jaume
dc.contributor.authorLlibre, Jaume
dc.date.accessioned2016-09-14T07:15:39Z
dc.date.available2016-09-14T07:15:39Z
dc.date.issued2006
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/10459.1/57797
dc.description.abstractIn this work we study the centers of planar analytic vector fields which are limit of linear type centers. It is proved that all the nilpotent centers are limit of linear type centers and consequently the Poincaré–Liapunov method to find linear type centers can be also used to find the nilpotent centers. Moreover, we show that the degenerate centers which are limit of linear type centers are also detectable with the Poincaré–Liapunov method.ca_ES
dc.description.sponsorshipThe second author is partially supported by a DGICYT grant number MTM2005-06098-C02-02 and by a CICYT grant number 2005SGR00550, and by DURSI of Government of Catalonia “Distinció de la Generalitat de Catalunya per a la promoció de la recerca universitària”. The third author is partially supported by a DGICYT grant number MTM2005-06098-C02-01 and by a CICYT grant number 2005SGR00550.
dc.language.isoengca_ES
dc.publisherElsevierca_ES
dc.relationMIECI/PN2004-2007/MTM2005-06098-C02-02
dc.relation.isformatofVersió preprint del document publicat a https://doi.org/10.1016/j.jde.2006.03.012ca_ES
dc.relation.ispartofJournal of Differential Equations, 2006, vol. 227, núm. 2, p. 406-426ca_ES
dc.relation.urihttps://arxiv.org/abs/math/0506116
dc.rights(c) Elsevier, 2006ca_ES
dc.subjectNilpotent centerca_ES
dc.subjectDegenerate centerca_ES
dc.subjectLiapunov constantsca_ES
dc.subjectCyclicityca_ES
dc.subject.otherEquacions diferencials
dc.titleThe problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systemsca_ES
dc.typearticleca_ES
dc.identifier.idgrec010791
dc.type.versionsubmittedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.identifier.doihttps://doi.org/10.1016/j.jde.2006.03.012


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