Chierchia L.
Non-degenerate "Arnold diffusion"
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ABSTRACT. The Hamiltonian $H\=\su{2} |I|^2 + \e V(\f;\e)$ with
$V\=\cos \f_4 + \e^8 \sum_{j=1}^3 \cos(\f_j+\f_4)$ and $I\in\real^4$,
is shown to exhibit ``Arnold diffusion" (or, more precisely, ``Arnold
instability") on each energy surface, providing the
first example of ``Arnold diffusion" for one--parameter perturbations of
non--degenerate (``steep"), completely integrable Hamiltonian systems.