• Centers of quasi-homogeneous polynomial differential equations of degree three 

      Aziz, Waleed; Llibre Saló, Jaume; Pantazi, Chara (2014-03-20)
      Article
      Accés restringit per política de l'editorial
      We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of ...
    • Integrability and linearizability of a family of three-dimensional quadratic systems 

      Pantazi, Chara; Amen, Azad; Aziz, Waleed (2021-01-01)
      Article
      Accés obert
      We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (1:-2:1) – resonance at the origin. ...
    • Three-dimensional Lotka–Volterra systems with 3:-1:2-resonance 

      Aziz, Waleed; Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara (2021-08)
      Article
      Accés obert
      We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka–Volterra differential systems with (3:- 1:2)-resonance. We give necessary and sufficient conditions on the parameters of ...