A remark on random perturbations of the nonlinear pendulum

Authors:
  • MFMark Freidlin
    Mark Freidlin
  • MWMatthias Weber
    Matthias Weber

Abstract
We describe the long-time behavior of the nonlinear pendulum perturbed by a small noise. To derive this asymptotics, one has to consider diffusion processes on the graph corresponding to the Hamiltonian of the pendulum.

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