94-129 Morbidelli A., Giorgilli A.
Superexponential stability of KAM tori (47K, TeX) May 9, 94
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Abstract. We study the dynamics in the neighbourhood of an invariant torus of a nearly integrable system. We provide an upper bound to the diffusion speed, which turns out to be of superexponentially small size $\exp(\exp(-1/\rho))$, $\rho$ being the distance from the invariant torus. We also discuss the connection of this result with the existence of many invariant tori close to the considered one.

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