MEL'NIKOV'S APPROXIMATION DOMINANCE: SOME EXAMPLES

G. GALLAVOTTI, G. GENTILE, V. MASTROPIETRO
1999 Reviews in Mathematical Physics  
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.
doi:10.1142/s0129055x99000167 fatcat:7hav7wmpabe5fhfzpbwyv62ln4