On the computation of Darboux first integrals of a class of planar polynomial vector fields
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Otros documentos de la autoría: Ferragut, Antoni; Galindo, Carlos; Montserrat Delpalillo, Francisco José
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On the computation of Darboux first integrals of a class of planar polynomial vector fieldsFecha de publicación
2019-05Editor
ElsevierCita bibliográfica
FERRAGUT, A.; GALINDO, C.; MONSERRAT, F. On the computation of Darboux first integrals of a class of planar polynomial vector fields. Journal of Mathematical Analysis and Applications, 2019, 478(2): 743-763Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0022247X19304603Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only ... [+]
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , 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. [-]
Proyecto de investigación
Spanish Government Ministerio de Econom´ıa, Industria y Competitividad (MINECO-FEDER) (Grants MTM2015-65764-C3-2-P, MTM2016-81735-REDT, MTM2016-81932-REDT and MTM2016-77278-P) ; Universitat Jaume I grants UJI-B2018-10 and P1-1B2015-16Derechos de acceso
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