title: An averaging method for Hamiltonian systems, exponentially close to integrable ones.
abstract: 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.
authors.affiliation: Department of Mathematics, Moscow State University, Moscow, Russia.
authors.forename: Dmitry V.
authors.initials: DV
authors.lastname: Treschev