Using the iteration of Nekhoroshev's theorem as a basic tool, we point out the existence of a hierarchic structure of nested domains underlying the phenomenon of diffusion. At each level we find that the diffusions speed is exponentially small with respect to the previous level. The set of KAM tori is the domain characterized by a zero diffusion speed.
On a connection between KAM and Nekhoroshev's theorem / A. Morbidelli, A. Giorgilli. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - 86:3(1995 Sep), pp. 514-516. [10.1016/0167-2789(95)00199-E]
On a connection between KAM and Nekhoroshev's theorem
A. GiorgilliUltimo
1995
Abstract
Using the iteration of Nekhoroshev's theorem as a basic tool, we point out the existence of a hierarchic structure of nested domains underlying the phenomenon of diffusion. At each level we find that the diffusions speed is exponentially small with respect to the previous level. The set of KAM tori is the domain characterized by a zero diffusion speed.
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