Local behavior of planar analytic vector fields via integrability

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Ferragut Amengual, Antoni Manel
dc.contributor.author	Álvarez, María Jesús
dc.date	2009-12
dc.identifier.uri	http://hdl.handle.net/2117/6506
dc.language.iso	eng
dc.relation	http://www.ma1.upc.edu/recerca/preprints/2009/prepr200902ferragut.pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Differential equations
dc.subject	planar analytic vector field
dc.subject	generalized rational first integral
dc.subject	blow up
dc.subject	Equacions diferencials ordinàries
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.title	Local behavior of planar analytic vector fields via integrability
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
dc.description.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

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

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