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.
Fast Arnold diffusion in systems with three time scales / Berti, Massimiliano; Bolle, P.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 8:3(2002), pp. 795-811.
Fast Arnold diffusion in systems with three time scales
BERTI, MASSIMILIANO;
2002
Abstract
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.File in questo prodotto:
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