On the computation of Darboux first integrals of a class of planar polynomial vector fields
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
On the computation of Darboux first integrals of a class of planar polynomial vector fieldsDate
2019-05Publisher
ElsevierBibliographic citation
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): 743-763Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0022247X19304603Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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. [-]
Investigation project
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 P1-1B2015-16Rights
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- MAT_Articles [766]