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

dc.contributor.author	Ferragut, Antoni
dc.contributor.author	Galindo, Carlos
dc.contributor.author	Monserrat, Francisco
dc.date	2019-10-15
dc.date.accessioned	2019-09-26T07:21:42Z
dc.date.available	2019-09-26T07:21:42Z
dc.identifier.issn	0022247X
dc.identifier.uri	https://reunir.unir.net/handle/123456789/9354
dc.description.abstract	We 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.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Journal of Mathematical Analysis and Applications	es_ES
dc.relation.ispartofseries	;vol. 478, nº 2
dc.relation.uri	https://www.sciencedirect.com/science/article/abs/pii/S0022247X19304603?via%3Dihub	es_ES
dc.rights	openAccess	es_ES
dc.subject	planar polynomial vector field	es_ES
dc.subject	darboux first integral	es_ES
dc.subject	reduction of singularities	es_ES
dc.subject	curve with only one place at infinity	es_ES
dc.subject	Scopus	es_ES
dc.subject	JCR	es_ES
dc.title	On the computation of Darboux first integrals of a class of planar polynomial vector fields	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.1016/j.jmaa.2019.05.052

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