On non-measurable sets and invariant tori

Details On non-measurable sets and invariant tori On non-measurable sets and invariant tori

2001-03-20

arxiv.org/abs/physics/0103058v1

Chaos Solitons & Fractals 13, 1093 (2002)

Physics

Classical Physics

8 pages, 1 figure

Scientific paper

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.

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