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A functional analysis approach to Arnold diffusion

TitleA functional analysis approach to Arnold diffusion
Publication TypeJournal Article
Year of Publication2002
AuthorsBerti, M, Bolle, P
JournalAnn. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 395-450
Abstract

We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the \\\"splitting of separatrices\\\" and to the \\\"shadowing problem\\\". As an application we apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results.

URLhttp://hdl.handle.net/1963/3151
DOI10.1016/S0294-1449(01)00084-1

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