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

• Integrability conditions of a resonant saddle in Liénard-like complex systems 

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

  We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.

• On the Integrability of Liénard systems with a strong saddle 

  Giné, Jaume; Llibre, Jaume (Elsevier, 2017)

  We study the local analytic integrability for real Li\'{e}nard systems, $\dot x=y-F(x),$ $\dot y= x$, with $F(0)=0$ but $F'(0)\ne0,$ which implies that it has a strong saddle at the origin. First we prove that this problem ...

• 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 ...