• 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 ...
    • 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 ...