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

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.

Country

Spain

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Keywords

Differential equations, Polynomial vector field, :34 Ordinary differential equations::34C Qualitative theory [Classificació AMS], Remarkable curve, Classificació AMS::34 Ordinary differential equations::34C Qualitative theory, Equacions diferencials ordinàries, Rational first integral

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