Now showing items 1-2 of 2

    • A blow-up method to prove formal integrability for some planar differential systems 

      Fercec, Brigita; Giné, Jaume (Shanghai Normal University & Wilmington Scientific Publisher, 2018)
      In this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blow-up and the resolution of a recurrence differential equation using induction. ...
    • Analytic integrability of certain resonant saddle 

      Christopher, Colin; Giné, Jaume (Elsevier, 2021)
      We provide sufficient conditions of analytic integrability for a family of planar differential system with a p : −q resonant saddle at the origin. The conditions are then shown to be necessary in several finite dimensional ...