|
Título:
|
The null divergence factor
|
|
Autor/a:
|
Chavarriga Soriano, Javier; Giacomini, Héctor; Giné, Jaume
|
|
Notas:
|
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 shown that this function plays a fundamental role in the problem of the center and in the determination of the limit cycles. In this paper we show how to construct systems with a given null divergence factor. The method presented in this paper is a generalization of the classical Darboux method to generate integrable systems. |
|
Materia(s):
|
-Center-focus problem
-Integrable systems in the plane
-Limit cycles
-Equacions diferencials |
|
Derechos:
|
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997
|
|
Tipo de documento:
|
article
publishedVersion |
|
Editor:
|
Universitat Autònoma de Barcelona. Departament de Matemàtiques
|
|
Compartir:
|
|
