On non-measurable sets and invariant tori
Classical Physics
2015-06-26 v1 General Physics
Abstract
The question: "How many different trajectories are there on a single invariant torus within the phase space of an integrable Hamiltonian system?" is posed. A rigorous answer to the question is found both for the rational and the irrational tori. The relevant notion of non-measurable sets is discussed.
Cite
@article{arxiv.physics/0103058,
title = {On non-measurable sets and invariant tori},
author = {Piotr Pieranski and Krzysztof W. Wojciechowski},
journal= {arXiv preprint arXiv:physics/0103058},
year = {2015}
}
Comments
8 pages, 1 figure