Now showing items 1-3 of 3

    • Arnold diffusion for a complete family of perturbations 

      Delshams Valdés, Amadeu; Gonçalves Schaefer, Rodrigo (Springer, 2017-01-01)
      Article
      Open Access
      In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamiltonian system of 2 + 1/2 degrees of freedom H(p, q, I, f, s) = p2/2+ cos q - 1 + I2/2 + h(q, f, s; e) — proving that for ...
    • Arnold diffusion for a complete family of perturbations with two independent harmonics 

      Delshams Valdés, Amadeu; Gonçalves Schaefer, Rodrigo (American Institute of Mathematical Sciences, 2018-12-01)
      Article
      Open Access
      We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete ...
    • Global instability in Hamiltonian systems 

      Gonçalves Schaefer, Rodrigo (Universitat Politècnica de Catalunya, 2018-07-11)
      Doctoral thesis
      Open Access
      In Chapters 1 and 2 of this thesis, we prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical ...