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Página principal > Artículos > Artículos publicados > Local behavior of planar analytic vector fields via integrability |
Fecha: | 2012 |
Resumen: | We present an algorithm to study the local behavior of singular points of planar analytic vector fields having a first integral which is a quotient of analytic functions. The algorithm is based on the blow up method. It emphasizes the curves passing through the singular points and avoids the computation of the desingularized systems. Vector fields having a rational first integral are a particular case. |
Ayudas: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Nota: | Agraïments: AF is additionally partially supported by grants Juan de la Cierva MTM2009-14163-C02-02. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Planar analytic vector field ; Generalized rational first integral ; Blow up |
Publicado en: | Journal of mathematical analysis and applications, Vol. 385 (2012) , p. 264-277, ISSN 1096-0813 |
Postprint 18 p, 424.3 KB |