Superexponential stability of KAM tori
by Alessandro Morbidelli and Antonio Giorgilli
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.
J. Stat. Phys. 78, 1607-1617 (1995)
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