Ugo Bessi, Luigi Chierchia, Enrico Valdinoci
Upper Bounds on Arnold Diffusion Time
(355K, PostScript)

ABSTRACT.  We consider several Hamiltonian systems for which the existence of 
Arnold's mechanism for diffusion (whiskered tori, transition ladder, etc.)
has been proven.
By means of Mather theory we show that the diffusion time 
are bounded by a power of the homoclinic splitting.