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dc.contributor.authorAlgaba Durán, Antonio 
dc.contributor.authorGarcía García, Cristóbal, Matemático 
dc.contributor.authorReyes Columé, Manuel
dc.identifier.citationAlgaba Durán, A., García García, C., Reyes Columé, M.: "Integrability of two dimensional quasi-homogeneous polynomial differential systems". Rocky Mountain Journal of Mathematics. Vol. 41, n. 1, (2011). DOI: 10.1216/RMJ-2011-41-1-1en_US
dc.description.abstractIn terms of the conservative-dissipative de composition of a vector field, we characterize the two dimensional quasi-homogeneous polynomial differential systems with a polynomial first integral (in these systems, polynomial integrability and analytic integrability are equivalent). We also provide an easy method to allow us to compute them and their centers. Finally, as an application, we find the quasi- homogeneous polynomial systems of degree two which have a polynomial first integral (the cubic homogeneous systems, among others, are included).en_US
dc.description.sponsorshipThis work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I + D + I co-financed withFEDER 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)
dc.publisherRocky Mountain Mathematics Consortiumen_US
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleIntegrability of two dimensional quasi-homogeneous polynomial differential systemsen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/FEDER [MTM2004-04066, MTM2007-64193]
dc.relation.projectIDinfo:eu-repo/grantAgreement/Consejeria de Educacion y Ciencia de la Junta de Andalucia [FQM-276, EXC/2005/FQM-872]

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