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Fast Arnold diffusion in systems with three time scales

TitleFast Arnold diffusion in systems with three time scales
Publication TypeJournal Article
Year of Publication2002
AuthorsBerti, M, Bolle, P
JournalDiscrete Contin. Dyn. Syst. 8 (2002) 795-811
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.

URLhttp://hdl.handle.net/1963/3058

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