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On bi-hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
, 2008
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On integrable system on S 2 with the second integral quartic in the momenta.
, 2004
"... 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. 1 ..."
Abstract
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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. 1
