On non-measurable sets and invariant tori
arXiv:physics/0103058 · doi:10.1016/S0960-0779(01)00115-1
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.
8 pages, 1 figure