94-129 Morbidelli A., Giorgilli A.

Superexponential stability of KAM tori (47K, TeX) May 9, 94

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 94-129.tex