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| dc.creator | Chavarriga Soriano, Javier | |
| dc.creator | Giacomini, Héctor | |
| dc.creator | Giné, Jaume | |
| dc.date | 1997 | |
| dc.date.accessioned | 2025-11-03T12:15:08Z | |
| dc.date.available | 2025-11-03T12:15:08Z | |
| dc.identifier | https://doi.org/10.5565/PUBLMAT_41197_03 | |
| dc.identifier | 0214-1493 | |
| dc.identifier | http://hdl.handle.net/10459.1/44522 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/23975 | |
| 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 |
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