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.
Melnikov's approximation dominance. Some examples.Reviews on Mathematical Physics / Gallavotti, Giovanni; Gentile, G.; Mastropietro, V.. - In: REVIEWS IN MATHEMATICAL PHYSICS. - ISSN 0129-055X. - STAMPA. - 11:(1999), pp. 451-461. [10.1142/S0129055X99000167]
Melnikov's approximation dominance. Some examples.Reviews on Mathematical Physics
GALLAVOTTI, Giovanni;
1999
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.File allegati a questo prodotto
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