Exploració per autor "Ferragut Amengual, Antoni Manel"

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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 obert
      We 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 obert
      The 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'editorial
      We 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'editorial
      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 ...

    • Local behavior of planar analytic vector fields via integrability 

      Ferragut Amengual, Antoni Manel; Álvarez, María Jesús (2009-12)
      Report de recerca
      Accés obert
      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 ...

    • 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 obert
      In 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 ...