The null divergence factor
Chavarriga Soriano, Javier (Universitat de Lleida. Departament de Matemàtica)
Giacomini, Hector (Université de Tours. Laboratoire de Mathématiques et Physique Théorique)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)

Date:	1997
Abstract:	Let (P,Q) be a C1 vectorfield defined in a open subset U ⊂ R2. We call a null divergence factor a C1 solution V (x, y) of the equation P ∂V ∂x + Q∂V ∂y = ∂P ∂x + ∂Q ∂y V . In previous works 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 paperw e 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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 41 n. 1 (1997) p. 41-56, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37882
DOI: 10.5565/PUBLMAT_41197_03

16 p, 131.0 KB

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