Geometric criterium in the center problem

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dc.contributor.authorAlgaba, Antonio
dc.contributor.authorGarcía, Cristóbal
dc.contributor.authorGiné, Jaume
dc.date.accessioned2017-04-04T11:03:34Z
dc.date.embargoEndDate2025-01-01
dc.date.issued2016-10
dc.date.updated2017-04-04T11:03:36Z
dc.description.abstractIn this paper we use a geometric criterium based in the classical method of the construction of Lyapunov functions to determine if a differential system has a focus or a center at a singular point. This criterium is proved to be useful for several examples studied in previous works with other more specific methods.
dc.description.sponsorshipThe 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, 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.identifier.doihttps://doi.org/10.1007/s00009-015-0641-0
dc.identifier.idgrec025079
dc.identifier.issn1660-5446
dc.identifier.urihttp://hdl.handle.net/10459.1/59434
dc.language.isoeng
dc.publisherSpringer Basel
dc.relationMICINN/PN2008-2011/MTM2010-20907 info:eu-repo/grantAgreement/MICINN//MTM2010-20907-C02-02/ES/FORMAS NORMALES Y APLICACIONES A CAMPOS VECTORIALES PLANOS Y TRIDIMENSIONALES/
dc.relationinfo:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relation.isformatofReproducció del document publicat a https://doi.org/10.1007/s00009-015-0641-0
dc.relation.ispartofMediterranean Journal of Mathematics, 2016, vol. 13, num. 5, p. 2593-2611
dc.rights(c) Springer Basel, 2016
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectNonlinear differential systems
dc.subjectIntegrability problem
dc.subjectDegenerate center problem
dc.titleGeometric criterium in the center problem
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
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