Now showing items 1-2 of 2

  • Exponentially small splitting of separatrices in the perturbed McMillan map 

    Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-10)
    Article
    Open Access
    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. ...
  • Resurgence of inner solutions for perturbations of the McMillan map 

    Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-09)
    Article
    Open Access
    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 ...