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

• 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.

• Reversible nilpotent centers with cubic homogeneous nonlinearities 

  Dukaric, Masa; Giné, Jaume; Llibre, Jaume (Elsevier, 2016)

  We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase ...

• 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 ...