This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diffusion for nearly integrable Hamiltonian systems. The main results concern optimal diffusion time for a-priori unstable systems, in three times scales systems the possibility to get a diffusion orbit in polynomial time (open problem for long time), and new results about exponentially small splitting.
Arnold Diffusion: a Functional Analysis Approach / Berti, Massimiliano. - STAMPA. - 43, 2:(2002), pp. 712-719. (Intervento presentato al convegno Symmetry in nonlinear mathematica physics tenutosi a Kiev nel July 9-15, 2002).
Arnold Diffusion: a Functional Analysis Approach
BERTI, MASSIMILIANO
2002
Abstract
This paper gives a short presentation of recent results by Berti and P. Bolle concerning Arnold diffusion for nearly integrable Hamiltonian systems. The main results concern optimal diffusion time for a-priori unstable systems, in three times scales systems the possibility to get a diffusion orbit in polynomial time (open problem for long time), and new results about exponentially small splitting.File in questo prodotto:
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