On the computation of Darboux first integrals of a class of planar polynomial vector fields

dc.creatorFerragut, Antoni (1)
dc.creatorGalindo, Carlos
dc.creatorMonserrat, Francisco
dc.date.accessioned2019-09-26T07:21:42Z
dc.date.accessioned2023-03-07T19:24:39Z
dc.date.available2019-09-26T07:21:42Z
dc.date.available2023-03-07T19:24:39Z
dc.date.created2019-09-26T07:21:42Z
dc.identifier0022247X
dc.identifierhttps://reunir.unir.net/handle/123456789/9354
dc.identifierhttps://doi.org/10.1016/j.jmaa.2019.05.052
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5903739
dc.description.abstractWe study the class of planar polynomial vector fields admitting Darboux first integrals of the type ∏i=1 rfi αi, where the αi's are positive real numbers and the fi's are polynomials defining curves with only one place at infinity. We show that these vector fields have an extended reduction procedure and give an algorithm which, from a part of the extended reduction of the vector field, computes a Darboux first integral for generic exponents.
dc.languageeng
dc.publisherJournal of Mathematical Analysis and Applications
dc.relation;vol. 478, nº 2
dc.relationhttps://www.sciencedirect.com/science/article/abs/pii/S0022247X19304603?via%3Dihub
dc.rightsopenAccess
dc.subjectplanar polynomial vector field
dc.subjectdarboux first integral
dc.subjectreduction of singularities
dc.subjectcurve with only one place at infinity
dc.subjectScopus
dc.subjectJCR
dc.titleOn the computation of Darboux first integrals of a class of planar polynomial vector fields
dc.typeArticulo Revista Indexada


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