Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorGarcía García, Cristóbal
dc.contributor.authorReyes Columé, Manuel
dc.date.accessioned2025-04-25T12:24:52Z
dc.date.available2025-04-25T12:24:52Z
dc.date.issued2010-09
dc.description.abstractWe characterize, in terms of the conservative-dissipative decomposition of a vector field, the two-dimensional quasi-homogeneous polynomial differential systems which have got a rational first integral. We obtain the Kowalevskaya exponents of these vector fields and relate the rational integrability of these fields to their Kowalevskaya exponents.es_ES
dc.description.departmentCiencias Integradases_ES
dc.description.sponsorshipThis work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2004-04066, MTM2007-64193 and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and EXC/2005/FQM-872).es_ES
dc.identifier.citationAlgaba, A., García, C., & Reyes, M. (2010). Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems. In Nonlinear Analysis: Theory, Methods & Applications (Vol. 73, Issue 5, pp. 1318–1327). Elsevier BV. https://doi.org/10.1016/j.na.2010.04.059es_ES
dc.identifier.doi10.1016/j.na.2010.04.059
dc.identifier.issn0362-546X
dc.identifier.issn1873-5215 (electrónico)
dc.identifier.urihttps://hdl.handle.net/10272/25441
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.publisherversionhttps://doi.org/10.1016/j.na.2010.04.059es_ES
dc.rightsAtribución-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nd/3.0/es/*
dc.subject.otherRational Integrabilityes_ES
dc.subject.otherQuasi-homogeneous vector fieldes_ES
dc.subject.otherRational integrabilityes_ES
dc.subject.otherKowalevskaya exponentses_ES
dc.subject.unesco12 Matemáticases_ES
dc.titleRational integrability of two-dimensional quasi-homogeneous polynomial differential systemses_ES
dc.typejournal articlees_ES
dc.type.hasVersionSMURes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublication326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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