G. Gallavotti, G. Gentile, V. Mastropietro
Melnikov's approximation dominance. Some examples.
(46K, TeX (as plain as it can be))

ABSTRACT.  We continue a previous paper to show that Melnikov's first order formula 
for {\it 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.