01-96 Massimiliano Berti, Philippe Bolle

A functional analysis approach to Arnold Diffusion (177K, LaTeX) Mar 7, 01

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Abstract. We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the ``splitting of separatrices'' and to the ``shadowing problem''. We apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results.

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