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

• Integrability conditions for Lotka–Volterra planar complex quintic systems 

  Giné, Jaume; Romanovski, Valery G. (Elsevier, 2010)

  In this paper we obtain necessary and sufficient integrability conditions at the origin for the Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree homogeneous polynomials, i.e., we ...

• 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 ...

• Center problem for systems with two monomial nonlinearities 

  Gasull i Embid, Armengol; Giné, Jaume; Torregrosa, Joan (American Institute of Mathematical Sciences, 2016)

  We study the center problem for planar systems with a linear center at the origin that in complex coordinates have a nonlinearity formed by the sum of two monomials. Our first result lists several centers inside this family. ...