dc.contributor.author
Chavarriga Soriano, Javier
dc.contributor.author
Giacomini, Héctor
dc.contributor.author
Giné, Jaume
dc.date.accessioned
2024-12-05T21:21:19Z
dc.date.available
2024-12-05T21:21:19Z
dc.date.issued
2012-01-26T09:14:37Z
dc.date.issued
2012-01-26T09:14:37Z
dc.identifier
https://doi.org/10.5565/PUBLMAT_41197_03
dc.identifier
http://hdl.handle.net/10459.1/44522
dc.identifier.uri
http://hdl.handle.net/10459.1/44522
dc.description.abstract
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.
dc.publisher
Universitat Autònoma de Barcelona. Departament de Matemàtiques
dc.relation
Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_41197_03
dc.relation
Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca
dc.relation
Publicacions matemàtiques, 1997, vol. 41, núm. 1, p. 41-56
dc.rights
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Center-focus problem
dc.subject
Integrable systems in the plane
dc.subject
Equacions diferencials
dc.title
The null divergence factor
