An averaging method for Hamiltonian systems, exponentially close to integrable ones.
Exponentially small separatrix splitting for a pendulum with rapidly oscillating suspension point and for the standard Chirikov map is studied by means of a new averaging method, which is a continuous version of the Neishtadt averaging procedure. An asymptotic formula for the rate of the separatrix splitting is obtained. (c) 1996 American Institute of Physics.
Treschev
Dmitry V.
DV
Department of Mathematics, Moscow State University, Moscow, Russia.