Exploració per autor "Ferragut Amengual, Antoni Manel"
Ara es mostren els items 1-6 de 6
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A new algorithm for finding rational first integrals of polynomial vector fields
Ferragut Amengual, Antoni Manel; Giacomini, Héctor (2009-05)
Report de recerca
Accés obertWe present a new method to compute rational first integrals of a planar polynomial vector field. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated ... -
A survey on the blow up technique
Ferragut Amengual, Antoni Manel; Jarque Ribera, Xavier; Álvarez, María Jesús (2010-08)
Report de recerca
Accés obertThe blow up technique is widely used in desingularization of degenerate singular points of planar vector fields. In this survey we give an overview of the different types of blow up and we illustrate them with many ... -
Analytic integrability of Bianchi Class A cosmological models with k=1
Ferragut Amengual, Antoni Manel; Llibre Saló, Jaume; Pantazi, Chara (2012)
Article
Accés restringit per política de l'editorialWe complete the study of the analytic integrability of the Class A of Bianchi cosmological models with k=1, characterizing the analytic first integrals of the Bianchi types V I0 and V III0. -
Local behavior of planar analytic vector fields via integrability
Álvarez, M.J.; Ferragut Amengual, Antoni Manel (2012-01)
Article
Accés restringit per política de l'editorialWe 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 ... -
Local behavior of planar analytic vector fields via integrability
Ferragut Amengual, Antoni Manel; Álvarez, María Jesús (2009-12)
Report de recerca
Accés obertWe 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 ... -
Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps
Alberich Carramiñana, Maria; Ferragut Amengual, Antoni Manel; Llibre Saló, Jaume (Elsevier, 2021)
Article
Accés obertIn this paper we study the action of planar birational transformations, also known as plane Cremona maps, on quadratic planar differential systems. We provide geometrical characterizations of when a quadratic system is ...