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Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems

Massimiliano Berti·Philippe Bolle
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Abstract

We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusion time. We also develop a new method for measuring the splitting of the separatrices. As an application we justify, for three time scales systems, that the splitting is correctly predicted by the Poincaré-Melnikov function.

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Massimiliano Berti, Philippe Bolle. 2000-11-02. Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems. https://arxiv.org/abs/math/0011017

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