A new algorithm for finding rational first integrals of polynomial vector fields

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dc.contributor.author	Ferragut Amengual, Antoni Manel
dc.contributor.author	Giacomini, Héctor
dc.date	2010
dc.identifier	https://ddd.uab.cat/record/232172
dc.identifier	urn:10.1007/s12346-010-0021-x
dc.identifier	urn:oai:ddd.uab.cat:232172
dc.identifier	urn:scopus_id:84905085814
dc.identifier	urn:articleid:16623592v9n1-2p89
dc.identifier	urn:gsduab:2385
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Educación y Ciencia MTM2005-06098-C02-01
dc.relation	Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550
dc.relation	Qualitative Theory of Dynamical Systems ; Vol. 9, Issue 1-2 (November 2010), p. 89-99
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Polynomial vector field
dc.subject	Rational first integral
dc.subject	Remarkable curve
dc.title	A new algorithm for finding rational first integrals of polynomial vector fields
dc.type	Article
dc.description.abstract	We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.

Ferragut Amengual, Antoni Manel; Giacomini, Héctor

Chavarriga Soriano, Javier; Giacomini, Héctor; Giné, Jaume

Giacomini, Héctor; Grau Montaña, Maite

Giacomini, Héctor; Giné, Jaume; Grau Montaña, Maite

Giacomini, Héctor; Giné, Jaume; Llibre, Jaume

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