A remark on random perturbations of the nonlinear pendulum
Freidlin, Mark ; Weber, Matthias
Ann. Appl. Probab., Tome 9 (1999) no. 1, p. 611-628 / Harvested from Project Euclid
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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.
Publié le : 1999-08-14
Classification:  Averaging principle,  random perturbations,  nonlinear pendulum,  60H10,  34C29,  35B20 
@article{1029962806,
     author = {Freidlin, Mark and Weber, Matthias},
     title = {A remark on random perturbations of the nonlinear pendulum},
     journal = {Ann. Appl. Probab.},
     volume = {9},
     number = {1},
     year = {1999},
     pages = { 611-628},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1029962806}
}

Freidlin, Mark; Weber, Matthias. A remark on random perturbations of the nonlinear pendulum. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp.  611-628. http://gdmltest.u-ga.fr/item/1029962806/