Ferragut, Antoni; Galindo Pastor, Carlos; Monserrat Delpalillo, Francisco José(Elsevier, 2015-10-01)
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 place at infinity. In the affirmative ...
Ferragut, Antoni; GALINDO PASTOR, CARLOS; Monserrat Delpalillo, Francisco José(Elsevier, 2019-10-15)
[EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining ...