Showing items related by title, author, creator and subject.

• The role of algebraic solutions in planar polynomial differential systems 

  Giacomini, Héctor; Giné, Jaume; Grau Montaña, Maite (Cambridge University Press, 2007)

  We study a planar polynomial differential system, given by . We consider a function , where gi(x) are algebraic functions of with ak(x) and algebraic functions, A0(x,y) and A1(x,y) do not share any common factor, h2(x) is ...

• Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems 

  Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume (American Institute of Mathematical Sciences, 2013-10)

  In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous ...

• Analytic integrability of cubic-linear planar polynomial differential systems 

  Giné, Jaume; Valls, Claudia (Elsevier, 2016)

  For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.