2 papers
math.DS2018
On the computation of Darboux first integrals of a class of planar polynomial vector fields
A. Ferragut, C. Galindo, F. Monserrat
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type , where the 's are positive real numbers and the $…
math.CA2014
A class of polynomial planar vector fields with polynomial first integral
A. Ferragut, C. Galindo, F. Monserrat
We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one…