@article {2002, title = {Fast Arnold diffusion in systems with three time scales}, journal = {Discrete Contin. Dyn. Syst. 8 (2002) 795-811}, number = {SISSA;21/2001/M}, year = {2002}, publisher = {American Institute of Mathematical Sciences}, 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.}, url = {http://hdl.handle.net/1963/3058}, author = {Massimiliano Berti and Philippe Bolle} }