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Title:
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The null divergence factor
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Author:
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Chavarriga Soriano, Javier; Giacomini, Héctor; Giné, Jaume
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Notes:
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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. |
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Subject(s):
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-Center-focus problem
-Integrable systems in the plane
-Limit cycles
-Equacions diferencials |
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Rights:
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(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997
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Document type:
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article
publishedVersion |
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Published by:
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Universitat Autònoma de Barcelona. Departament de Matemàtiques
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