Now showing items 1-5 of 5

  • A new algorithm for finding rational first integrals of polynomial vector fields 

    Ferragut Amengual, Antoni Manel; Giacomini, Héctor (2009-05)
    External research report
    Open Access
    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)
    External research report
    Open Access
    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
    Restricted access - publisher's policy
    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 

    Ferragut Amengual, Antoni Manel; Álvarez, María Jesús (2009-12)
    External research report
    Open Access
    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 

    Álvarez, M.J.; Ferragut Amengual, Antoni Manel (2012-01)
    Article
    Restricted access - publisher's policy
    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 ...