On the Existence of Drifting Orbits for Non-Convex Hamiltonian Systems

18 Jun 2015 Yordanov Borislav Yordanova Roumyana

We show the existence of drifting orbits for certain perturbations of non-convex Hamiltonian systems with several degrees of freedom. These orbits remain in the vicinity of resonant surfaces where the action variables can undergo changes $O(1)$ infinitely often although the size of perturbations $O(\epsilon)$ can be arbitrarily small... (read more)

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  • CLASSICAL ANALYSIS AND ODES
  • DYNAMICAL SYSTEMS