Diffusion in near-integrable hamiltonian systems with three degrees of freedom

1 January 1980

proceedings article
Published by AIP Publishing in AIP Conference Proceedings

Vol. 57 (1) , 272-301
https://doi.org/10.1063/1.32111

Abstract

We review, using a few simple examples, the mechanism for a very general stochastic motion—the Arnold diffusion—which occurs in near‐ integrable Hamiltonian systems with more than two degrees of freedom. The examples chosen describe the effect of periodic perturbations on a free particle system in three dimensions. The calculated Arnold diffusion rates are in good agreement with the results of simulation studies.

Keywords

BEAM DYNAMICS
HAMILTONIANS
SYMMETRY
PERTURBATION THEORY
DIFFUSION
STOCHASTIC PROCESSES
PHASE SPACE
BESSEL FUNCTIONS
SIMULATION

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