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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.: "Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))". Qualitative Theory of Dynamical Systems. Vol. 10, n. 2, págs. 303–316, (2011). DOI: 10.1007/s12346-011-0046-9en_US
dc.identifier.issn1662-3592 (electrónico)
dc.description.abstractWe characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an inverse integrating factor of the form (h+ . . . )q with h = 2σ xn+1 − (n + 1)y2 and q a rational number. We analyze its uniqueness modulus a multiplicative constant.en_US
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 projects MTM2007-64193 and MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P08-FQM-03770).
dc.publisherSpringer Verlagen_US
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleNilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/FEDER funds [MTM2007-64193, MTM2010-20907-C02-02]
dc.relation.projectIDinfo:eu-repo/grantAgreement/Consejeria de Educacion y Ciencia de la Junta de Andalucia [FQM-276, P08-FQM-03770]

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