Title: Random and Deterministic Perturbations of Nonlinear Oscillators
Perturbations of Hamiltonian systems are considered. The long-time behavior of such a perturbed system, even in the case of deterministic perturbations, is governed, in general, by a stochastic process on a graph related to the Hamiltonian. We calculate the characteristics of the process for systems with one degree of freedom and consider some applications and generalizations.
1991 Mathematics Subject Classification: 60H10, 34F05, 35B20, 60J60
Keywords and Phrases: Random perturbations, Hamiltonian systems, PDE's with a small parameter
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