%0 Journal Article %J Discrete Contin. Dyn. Syst. 8 (2002) 795-811 %D 2002 %T Fast Arnold diffusion in systems with three time scales %A Massimiliano Berti %A Philippe Bolle %X 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. %B Discrete Contin. Dyn. Syst. 8 (2002) 795-811 %I American Institute of Mathematical Sciences %G en_US %U http://hdl.handle.net/1963/3058 %1 1275 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-09T16:26:36Z\\nNo. of bitstreams: 1\\n0103065v1.pdf: 229503 bytes, checksum: eb476d4f1629873c6d0688c3a4a9dc61 (MD5)