Local behavior of planar analytic vector fields via integrability

dc.contributor.author	Ferragut Amengual, Antoni Manel
dc.contributor.author	Álvarez, María Jesús
dc.contributor.other	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned	2010-03-01T09:32:41Z
dc.date.available	2010-03-01T09:32:41Z
dc.date.issued	2009-12
dc.identifier.uri	http://hdl.handle.net/2117/6506
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
dc.format.extent	17 p.
dc.language.iso	eng
dc.subject.lcsh	Differential equations
dc.subject.other	planar analytic vector field
dc.subject.other	generalized rational first integral
dc.subject.other	blow up
dc.title	Local behavior of planar analytic vector fields via integrability
dc.type	External research report
dc.subject.lemac	Equacions diferencials ordinàries
dc.subject.ams	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.relation.publisherversion	http://www.ma1.upc.edu/recerca/preprints/2009/prepr200902ferragut.pdf
dc.rights.access	Open Access
local.identifier.drac	2174360
dc.description.version	Preprint
local.personalitzacitacio	true

UPCommons. Portal del coneixement obert de la UPC