A new integrable system on the sphere

Details A new integrable system on the sphere A new integrable system on the sphere

2004-06-10

arxiv.org/abs/math/0406209v1

Math Research Letters, 11:715--722, 2004

Mathematics

Dynamical Systems

LaTeX, 15 pages

Scientific paper

We present a new Liouville-integrable natural Hamiltonian system on the
(cotangent bundle of the) two-dimensional sphere. The second integral is cubic
in the momenta.

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