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
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/180832
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