Abstract:
We discuss the polynomial bi-Hamiltonian structures for the Kowalevski top in special case of zero square integral. An explicit procedure to find variables of separation and separation relations is considered in detail.
\Bibitem{Tsi10}
\by A. V. Tsiganov
\paper New variables of separation for particular case of the Kowalevski top
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 6
\pages 659--669
\mathnet{http://mi.mathnet.ru/rcd525}
\crossref{https://doi.org/10.1134/S156035471006002X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2747176}
\zmath{https://zbmath.org/?q=an:1258.70012}
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https://www.mathnet.ru/eng/rcd/v15/i6/p659
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