We review, using a few simple examples, the mechanism for a very general stochastic motion—the Arnold diffusion—which occurs in near‐ integrable Hamiltonian systems with more than two degrees of freedom. The examples chosen describe the effect of periodic perturbations on a free particle system in three dimensions. The calculated Arnold diffusion rates are in good agreement with the results of simulation studies.
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Tennyson et al. (1980) studied this question.
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