TY - JOUR T1 - Arnold diffusion: a functional analysis approach JF - Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002 Y1 - 2002 A1 - Massimiliano Berti AB - 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. PB - Natsīonal. Akad. Nauk Ukraïni U1 - 7269 U2 - Mathematics U4 - 1 U5 - MAT/05 ANALISI MATEMATICA ER -