Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorGarcía García, Cristóbal
dc.contributor.authorGiné, Jaume
dc.date.accessioned2022-05-18T10:21:36Z
dc.date.available2022-05-18T10:21:36Z
dc.date.issued2016
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.es_ES
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.es_ES
dc.description.departmentCiencias Integradas
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.identifier.citationAlgaba, A., García, C., & Giné, J. (2014). Analytic Integrability of Some Examples of Degenerate Planar Vector Fields. In Acta Applicandae Mathematicae (Vol. 141, Issue 1, pp. 1–15). Springer Science and Business Media LLC. https://doi.org/10.1007/s10440-014-0001-2es_ES
dc.identifier.doi10.1007/s10440-014-0001-2
dc.identifier.issn0167-8019
dc.identifier.issn1572-9036 (electrónico)
dc.identifier.urihttp://hdl.handle.net/10272/20906
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s10440-014-0001-2es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.otherNonlinear differential systemses_ES
dc.subject.otherIntegrability problemes_ES
dc.subject.otherDegenerate center problemes_ES
dc.subject.unesco12 Matemáticases_ES
dc.titleAnalytic Integrability of Some Examples of Degenerate Planar Vector Fieldses_ES
dc.typejournal articlees_ES
dc.type.hasVersionAM
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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