Browsing Articles publicats (Matemàtica) by Subject "Integrable systems in the plane"

Now showing items 1-3 of 3

    • Integrability of a linear center perturbed by a fifth degree homogeneous polynomial 

      Chavarriga Soriano, Javier; Giné, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997)
      In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation ...

    • Integrability of a linear center perturbed by a fourth degree homogeneous polynomial 

      Chavarriga Soriano, Javier; Giné, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996)
      In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions ...

    • The null divergence factor 

      Chavarriga Soriano, Javier; Giacomini, Héctor; Giné, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997)
      Let (P, Q) be a C 1 vector field defined in a open subset U ⊂ R2 . We call a null divergence factor a C 1 solution V (x, y) of the equation P ∂V + Q ∂V = ∂P + ∂Q V . In previous works ∂x ∂y ∂x ∂y it has been ...