01-162 Massimiliano Berti, Philippe Bolle

Fast Arnold Diffusion in systems with three time scales (65K, LaTeX) Apr 29, 01

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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.

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