A remark on random perturbations of the nonlinear pendulum

Authors
Freidlin, Mark Weber, Matthias
Citation
Freidlin, Mark et Weber, Matthias, A remark on random perturbations of the nonlinear pendulum, Annals of applied probability , 9(3), 1999, pp. 611-628
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
9
Issue
3
Year of publication
1999
Pages
611 - 628
Database
ACNP
SICI code
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.