Fontich E., Martin P.
Arnold diffusion in perturbations of analytic integrable
Hamiltonian systems
(127K, LATeX)

ABSTRACT.  Given an analytic integrable Hamiltonian with three or more degrees of
freedom, we construct, arbitrarily
close to it, an analytic perturbation with transition chains whose
lengths only depend
on the unperturbed Hamiltonian. Then we deduce that the
perturbed system has
Arnold diffusion. We provide the technical details of the tools we use.