@article {2002, title = {Arnold diffusion: a functional analysis approach}, journal = {Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsional. Akad. Nauk Ukra{\"\i}ni, Inst. Mat., Kiev, 2002}, year = {2002}, publisher = {Natsional. Akad. Nauk Ukra{\"\i}ni}, abstract = {We present, in the context of nearly integrable Hamiltonian systems, a functional analysis approach to study the {\textquotedblleft}splitting of the whiskers{\textquotedblright} and the {\textquotedblleft}shadowing problem{\textquotedblright} 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.}, author = {Massimiliano Berti} }