On the problem of stability for near to integrable Hamiltonian systems
by Antonio Giorgilli
Abstract:
Some recent applications and extensions of Nekhoroshev's theory on
exponential stability are presented. Applications to physical systems
concern on the one hand realistic evaluations of the regions where
exponential stability is effective, and, on the other hand, the
relaxation time for resonant states in large, possibly infinite
systems. Extensions of the theory concern the phenomenon of
superexponential stability of orbits in the neigbourhood of invariant
KAM tori.
Proceedings of the International Congress of Mathematicians Berlin 1998, Vol. III, Documenta Mathematica, extra volume ICM 1998, 143--152 (1998)
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