• Exponentially small splitting of separatrices in the perturbed McMillan map 

    Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-10)
    Article
    Accés obert
    The McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic xed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ...
  • Oscillatory motions for the restricted planar circular three body problem 

    Guàrdia Munarriz, Marcel; Martín, Pau; Martínez-Seara Alonso, M. Teresa (2016-02-01)
    Article
    Accés obert
    © 2015, Springer-Verlag Berlin Heidelberg. The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. ...
  • Oscillatory orbits in the restricted elliptic planar three body problem 

    Guàrdia Munarriz, Marcel; Martín, Pau; Sabbagh, Lara; Martínez-Seara Alonso, M. Teresa (Southwest Missouri State University, 2017-01-01)
    Article
    Accés obert
    The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called ...
  • Resurgence of inner solutions for perturbations of the McMillan map 

    Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-09)
    Article
    Accés obert
    Abstract. A sequence of \inner equations" attached to certain perturbations of the McMillan map was considered in [5], their solutions were used in that article to measure an exponentially small separatrix splitting. We ...