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

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