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dc.contributor.authorAlgaba, Antonio
dc.contributor.authorGarcía, Cristóbal
dc.contributor.authorGiné, Jaume
dc.date.accessioned2016-11-02T17:24:15Z
dc.date.available2017-11-04T23:15:02Z
dc.date.issued2016
dc.identifier.issn0167-8019
dc.identifier.urihttp://hdl.handle.net/10459.1/58355
dc.description.abstractThis paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.
dc.description.sponsorshipThe authors are grateful to the referees for their valuable remarks which helped to improve the manuscript. The first and second authors are supported by a MINECO/FEDER grant number MTM2010-20907-C02-02 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658; TIC-130 and FQM-276). The third author is partially supported by a MINECO/FEDER grant number MTM2011- 22877 and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relationMICINN/PN2008-2011/MTM2010-20907
dc.relationMICINN/PN2008-2011/MTM2011-22877
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1007/s10440-014-0001-2
dc.relation.ispartofActa Applicandae Mathematicae, 2016, vol. 141, p. 1-15
dc.rights(c) Springer, 2016
dc.subjectNonlinear differential systems
dc.subjectIntegrability problem
dc.subjectDegenerate center problem
dc.subject.classificationMatemàtica
dc.subject.otherMathematics
dc.titleAnalytic integrability of some examples of degenerate planar vector fields
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2016-11-02T17:24:15Z
dc.identifier.idgrec023778
dc.type.versionacceptedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1007/s10440-014-0001-2


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