An averaging method for Hamiltonian systems, exponentially close to integrable ones
- 1 March 1996
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 6 (1) , 6-14
- https://doi.org/10.1063/1.166149
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.Keywords
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