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dc.contributor.authorGiné, Jaume
dc.contributor.authorGrau Montaña, Maite
dc.contributor.authorLlibre, Jaume
dc.date.accessioned2016-02-04T09:48:24Z
dc.date.issued2013-10
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/10459.1/49444
dc.description.abstractIn this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous polynomial differential system can be transformed into a differential system of the form u˙=uf(v), v˙=g(v) with f(v) and g(v) polynomials, and vice versa.ca_ES
dc.description.sponsorshipThe first and second authors are partially supported by a MICINN/ FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat de Catalunya) grant number 2009SGR 381. The third author is partially supported by a MICINN/ FEDER grant number MTM2008-03437, by a AGAUR grant number 2009SGR 410, by ICREA Academia and by FP7-PEOPLE-2012-IRSES- 316338 and 319888ca_ES
dc.format.mimetypeapplication/pdf
dc.language.isoengca_ES
dc.publisherAmerican Institute of Mathematical Sciencesca_ES
dc.relationMICINN/PN2008-2011/MTM2011-22877ca_ES
dc.relation.isformatofReproducció del document publicat a https://doi.org/10.3934/dcds.2013.33.4531ca_ES
dc.relation.ispartofDiscrete and Continuous Dynamical Systems, 2013, vol. 33, num. 10, p. 4531-4547ca_ES
dc.rights(c) American Institute of Mathematical Sciences, 2013ca_ES
dc.subjectIntegrability problemca_ES
dc.subjectPolynomial first integralca_ES
dc.subjectRational first integralca_ES
dc.subjectQuasi-homogeneous polynomial differential equationsca_ES
dc.subject.otherGeometria diferencialca_ES
dc.subject.otherEquacions diferencialsca_ES
dc.titlePolynomial and rational first integrals for planar quasi-homogeneous polynomial differential systemsca_ES
dc.typearticleca_ES
dc.date.updated2016-02-04T09:36:26Z
dc.identifier.idgrec019314
dc.type.versionpublishedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_ES
dc.identifier.doihttps://doi.org/10.3934/dcds.2013.33.4531
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/316338ca_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/319888
dc.date.embargoEndDate10000-01-01


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