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Arnold diffusion: a functional analysis approach

TitleArnold diffusion: a functional analysis approach
Publication TypeJournal Article
Year of Publication2002
AuthorsBerti, M
JournalPr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002

We present, in the context of nearly integrable Hamiltonian systems, a functional analysis
approach to study the “splitting of the whiskers” and the “shadowing problem” developed
in collaboration with P. Bolle in the recent papers [1] and [2] . This method is applied to the
problem of Arnold diffusion for nearly integrable partially isochronous systems improving
known results.

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