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. - 43:part 2(2002), pp. 712-719. (Intervento presentato al convegno International Conference Symmetry in Nonlinear Mathematical Physics ; 4 <2001, Kiew> tenutosi a Kiev nel July 9-15, 2001).
Arnold diffusion : a functional analysis approach
Berti, Massimiliano
2002-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
