Abstract
We study the dynamics in the neighborhood 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/σ)], σ 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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Communicated by G. Benettin
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Morbidelli, A., Giorgilli, A. Superexponential stability of KAM tori. J Stat Phys 78, 1607–1617 (1995). https://doi.org/10.1007/BF02180145
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DOI: https://doi.org/10.1007/BF02180145