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Melnikov's approximation dominance. Some examples

G. Gallavotti, G. Gentile, V. Mastropietro

chao-dynarXiv:chao-dyn/9804043

Abstract

We continue a previous paper to show that Mel'nikov's first order formula for part of the separatrix splitting of a pendulum under fast quasi periodic forcing holds, in special examples, as an asymptotic formula in the forcing rapidity.

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