dc.contributor.author |
Chavarriga Soriano, Javier |
dc.contributor.author |
Giacomini, Héctor |
dc.contributor.author |
Giné, Jaume |
dc.date |
2012-01-26T09:14:37Z |
dc.date |
2012-01-26T09:14:37Z |
dc.date |
1997 |
dc.identifier |
0214-1493 |
dc.identifier |
http://hdl.handle.net/10459.1/44522 |
dc.identifier |
https://doi.org/10.5565/PUBLMAT_41197_03 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/44522 |
dc.description |
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.language |
eng |
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 |
Limit cycles |
dc.subject |
Equacions diferencials |
dc.title |
The null divergence factor |
dc.type |
article |
dc.type |
publishedVersion |