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arXiv:math/0011017 [math.DS]AbstractReferencesReviewsResources

Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems

Massimiliano Berti, Philippe Bolle

Published 2000-11-02Version 1

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 Poincar\'e-Melnikov function.

Comments: 32 pages
Categories: math.DS, math.SG
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