A new integrable system on the sphere
classification
🧮 math.DS
math-phmath.DGmath.MPmath.SGnlin.SI
keywords
spheresystembundlecotangentcubichamiltonianintegrableintegral
read the original abstract
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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