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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Ferragut Amengual, Antoni Manel
dc.contributor.author	Giacomini, Héctor
dc.date	2009-05
dc.identifier.uri	http://hdl.handle.net/2117/6507
dc.language.iso	eng
dc.relation	http://www.gsd.uab.cat/cgi-bin/download?ID=FerGia2009.pdf-e3564c6605e84120.pdf;OD=FerGia2009.pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Differential equations
dc.subject	Polynomial vector field
dc.subject	Rational first integral
dc.subject	Remarkable curve
dc.subject	Equacions diferencials ordinàries
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.title	A new algorithm for finding rational first integrals of polynomial vector fields
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
dc.description.abstract	We present a new method to compute rational first integrals of a planar polynomial vector field. 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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