We point out a deep connection between KAM theorem and Nekhoroshev's theorem. Precisely, we reformulated the construction by Arnold of the set of invariant tori using Nekhoroshev's theorem as a basic tool. We prove in this way the existence of a hierarchic structure of nested domains characterized by a diffusion speed exponentially decreasing at each step. The set of KAM tori appears as the domain characterized by vanishing diffusion speed.
|Titolo:||Invariant KAM tori and global stability for Hamiltonian systems|
|Autori interni:||GIORGILLI, ANTONIO (Primo)|
|Parole Chiave:||Geography of resonances; KAM theorem; Nekhoroshev theorem; Slow chaotic diffusion|
|Data di pubblicazione:||gen-1997|
|Digital Object Identifier (DOI):||10.1007/PL00001462|
|Appare nelle tipologie:||01 - Articolo su periodico|