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arxiv: math/0406209 · v1 · pith:DQPX25Y7new · submitted 2004-06-10 · 🧮 math.DS · math-ph· math.DG· math.MP· math.SG· nlin.SI

A new integrable system on the sphere

classification 🧮 math.DS math-phmath.DGmath.MPmath.SGnlin.SI
keywords spheresystembundlecotangentcubichamiltonianintegrableintegral
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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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