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

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Title:	A new algorithm for finding rational first integrals of polynomial vector fields
Author:	Ferragut Amengual, Antoni Manel; Giacomini, Héctor
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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.
Subject(s):	-Differential equations -Polynomial vector field -Rational first integral -Remarkable curve -Equacions diferencials ordinàries -Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
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Document type:	Article - Draft Report
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