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Schaefer","submitted_at":"2016-08-30T11:42:35Z","abstract_excerpt":"In this work we illustrate the Arnold diffusion in a concrete example---the \\emph{a priori} unstable Hamiltonian system of $2+1/2$ degrees of freedom $H(p,q,I,\\varphi,s) = p^{2}/2+\\cos q -1 +I^{2}/2 + h(q,\\varphi,s;\\varepsilon)$---proving that for \\emph{any} small periodic perturbation of the form $h(q,\\varphi,s;\\varepsilon) = \\varepsilon\\cos q\\left( a_{00} + a_{10}\\cos\\varphi + a_{01}\\cos s \\right)$ ($a_{10}a_{01} \\neq 0$) there is global instability for the action. 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