On integrable system on S² with the second integral quartic in the momenta
classification
🌊 nlin.SI
keywords
systemintegrableintegralmomentaadditionalcoincidesconsiderfourth
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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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