Melnikov's approximation dominance. Some examples

Details Melnikov's approximation dominance. Some examples Melnikov's approximation dominance. Some examples

1998-04-30

arxiv.org/abs/chao-dyn/9804043v1

Reviews on Mathematical Physics, 11, 451--461, 1999

Nonlinear Sciences

Chaotic Dynamics

46 Kb; 9 pages, plain TeX

Scientific paper

10.1142/S0129055X99000167

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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