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chao-dyn1998
Bryuno Function and the Standard Map
Alberto Berretti, Guido Gentile
For the standard map the homotopically non-trivial invariant curves of rotation number satisfying the Bryuno condition are shown to be analytic in the perturbative parameter, provi…
chao-dyn1998
Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems
Giovanni Gallavotti, Guido Gentile, Vieri Mastropietro
Interacting systems consisting of two rotators and a point mass near a hyperbolic fixed point are considered, in a case in which the uncoupled systems have three very different cha…