Local behavior of planar analytic vector fields via integrability

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Título:	Local behavior of planar analytic vector fields via integrability
Autor/a:	Ferragut Amengual, Antoni Manel; Álvarez, María Jesús
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Abstract:	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
Materia(s):	-Differential equations -planar analytic vector field -generalized rational first integral -blow up -Equacions diferencials ordinàries -Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
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Tipo de documento:	Artículo - Borrador Informe
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Ferragut Amengual, Antoni Manel; Jarque Ribera, Xavier; Álvarez, María Jesús

Ferragut Amengual, Antoni Manel; Llibre Saló, Jaume; Pantazi, Chara

Ferragut Amengual, Antoni Manel; Giacomini, Héctor

Álvarez, M.J.; Ferragut Amengual, Antoni Manel

Ferragut Amengual, Antoni Manel; Llibre, Jaume; Pantazi, Chara

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