- 01-162 Massimiliano Berti, Philippe Bolle
- Fast Arnold Diffusion in systems with three time scales
Apr 29, 01
(auto. generated ps),
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Abstract. We consider the problem of Arnold Diffusion for
nearly integrable partially isochronous Hamiltonian
systems with three time scales.
By means of a careful shadowing analysis, based on a variational technique,
we prove that, along special directions, Arnold diffusion
takes place with fast (polynomial) speed, even though the ``splitting
determinant'' is exponentially small.