- 02-221 Massimiliano Berti, Luca Biasco and Philippe Bolle
- Drift in phase space: a new variational mechanism with optimal diffusion time
May 10, 02
(auto. generated ps),
of related papers
Abstract. We consider non-isochronous, nearly integrable,
a-priori unstable Hamiltonian systems
with a (trigonometric polynomial) $O(\mu)$-perturbation
which does not preserve the unperturbed tori.
We prove the existence of Arnold diffusion with diffusion time
$ T_d = O((1/ \mu) \log (1/ \mu ))$ by a variational method
which does not require the existence
of ``transition chains of tori'' provided by KAM theory.
We also prove that our estimate of the diffusion time $T_d $
is optimal as a consequence of a general stability result
derived from classical perturbation theory.