Oscillating mushrooms: adiabatic theory for a non-ergodic system
Dynamical Systems
2014-12-03 v2
Abstract
Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a periodically oscillating boundary accelerates the particle inside it exponentially fast. We provide an estimate for the rate of acceleration. Our numerical experiments confirms the theory. We suggest that a similar mechanism applies to general systems with mixed phase space.
Keywords
Cite
@article{arxiv.1305.2624,
title = {Oscillating mushrooms: adiabatic theory for a non-ergodic system},
author = {V. Gelfreich and V. Rom-Kedar and D. Turaev},
journal= {arXiv preprint arXiv:1305.2624},
year = {2014}
}
Comments
final revision