Now showing items 1-4 of 4

    • 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 ...
    • 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 ...
    • Linearizability of planar polynomial Hamiltonian systems 

      Arcet, Barbara; Giné, Jaume; Romanovski, Valery G. (Elsevier, 2022)
      Isochronicity and linearizability of two-dimensional polynomial Hamiltonian systems are revisited and new results are presented. We give a new computational procedure to obtain the necessary and sufficient conditions for ...
    • The center problem for a 2:-3 resonant cubic Lotka–Volterra system 

      Dolićanin, Diana; Giné, Jaume; Oliveira, Regilene; Romanovski, Valery G. (Elsevier, 2013)
      In this paper we obtain conditions on the coefficients of a cubic Lotka–Volterra system of the form equation(1) x=x(2-a20x2-a11xy-a02y2), ẏ=y(-3+b20x2+b11xy+b02y2), which fulfillment yields the existence in a ...