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.

• Integrability of complex planar systems with homogeneous nonlinearities 

  Fercec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F. (Elsevier, 2016)

  In this paper we obtain sufficient conditions for the existence of a local analytic first integral for a family of quintic systems having homogeneous nonlinearities. The family studied in this work is the largest one ...

• 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 ...