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cs.SC2013★ 1 cited
Efficient Algorithms for Computing Rational First Integrals and Darboux Polynomials of Planar Polynomial Vector Fields
Alin Bostan, Guillaume Chèze, Thomas Cluzeau +1
We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach is inspired by an idea of Ferragut and Giaco…
math.CA2013★ 3 cited
Bounding the number of remarkable values via Jouanolou's theorem
Guillaume Chèze
In this article we bound the number of remarkable values of a polynomial vector field. The proof is short and based on Jouanolou's theorem about rational first integrals of planar…