SUPEREXPONENTIAL STABILITY OF KAM TORI

Authors
MORBIDELLI A GIORGILLI A
Citation
A. Morbidelli et A. Giorgilli, SUPEREXPONENTIAL STABILITY OF KAM TORI, Journal of statistical physics, 78(5-6), 1995, pp. 1607-1617
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
78
Issue
5-6
Year of publication
1995
Pages
1607 - 1617
Database
ISI
SICI code
0022-4715(1995)78:5-6<1607:SSOKT>2.0.ZU;2-F
Abstract
We study the dynamics in the neighborhood of an invariant torus of a n early integrable system. We provide an upper bound to the diffusion sp eed, which turns out to be of superexponentially small size exp[-exp(1 /rho)], rho being the distance from the invariant torus. We also discu ss the connection of this result with the existence of many invariant tori close to the considered one.