Ara es mostren els items 25-30 de 30

    • Singular separatrix splitting and Melnikov method: An experimental study 

      Delshams Valdés, Amadeu; Ramírez Ros, Rafael (1998)
      Article
      Accés obert
      We consider families of analytic area-preserving maps depending on two pa- rameters: the perturbation strength E and the characteristic exponent h of the origin. For E=0, these maps are integrable with a separatrix to ...
    • Singular separatrix splitting and the Poincare-Melnikov method for area preserving maps 

      Delshams Valdés, Amadeu; Ramírez Ros, Rafael (1999)
      Article
      Accés obert
      The splitting of separatrices of area preserving maps close to the identity is one of the most paradigmatic examples of an exponentially small or singular phenomenon. The intrinsic small parameter is the characteristic ...
    • Singular splitting of separatrices for the perturbed McMillan map 

      Delshams Valdés, Amadeu; Ramírez Ros, Rafael (1998)
      Article
      Accés obert
    • Splitting of separatrices in Hamiltonian systems and symplectic maps 

      Delshams Valdés, Amadeu; Martínez-Seara Alonso, M. Teresa; Ramírez Ros, Rafael (1997)
      Article
      Accés obert
      Poincar\'e, Melnikov and Arnol'd introduced the standard method for measuring the splitting of separatrices of Hamiltonian systems. It is based on the study of the zeros of the so-called Melnikov integral, a vectorial ...
    • Stability of the phase motion in race-track microtrons 

      Kubyshin, Yu A.; Larreal Barreto, Oswaldo; Ramírez Ros, Rafael; Martínez-Seara Alonso, M. Teresa (2017-06-15)
      Article
      Accés obert
      We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. ...
    • The frequency map for billiards inside ellipsoids 

      Ramírez Ros, Rafael; Sánchez Casas, José Pablo (2010-04)
      Report de recerca
      Accés obert
      The billiard motion inside an ellipsoid Q Rn+1 is completely integrable. Its phase space is a symplectic manifold of dimension 2n, which is mostly foliated with Liouville tori of dimension n. The motion on each Liouville ...