A New Algorithm for Finding Rational First Integrals of Polynomial Vector Fields

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.
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Contributor : Hector Giacomini <>
Submitted on : Wednesday, July 1, 2015 - 7:16:16 PM
Last modification on : Saturday, June 29, 2019 - 1:28:15 AM

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Ferragut Antoni, Giacomini Hector. A New Algorithm for Finding Rational First Integrals of Polynomial Vector Fields. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2010, 9, pp.89-99. ⟨10.1007/s12346-010-0021-x⟩. ⟨hal-01170594⟩

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