On integrable system on $S^2$ with the second integral quartic in the momenta

Details On integrable system on $S^2$ with the second integral quartic in the momenta On integrable system on $S^2$ with the second integral quartic in the momenta

2004-10-29

arxiv.org/abs/nlin/0410063v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 6 pages

Scientific paper

10.1088/0305-4470/38/16/006

We consider integrable system on the sphere $S^2$ with an additional integral
of fourth order in the momenta. At the special values of parameters this system
coincides with the Kowalevski-Goryachev-Chaplygin system.

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