Fast Arnold Diffusion in three time scale systems

Details Fast Arnold Diffusion in three time scale systems Fast Arnold Diffusion in three time scale systems

2001-03-10

arxiv.org/abs/math/0103065v1

Mathematics

Dynamical Systems

Scientific paper

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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