Abstract:
A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discriminantly separable polynomials. They have appeared in a recent reconsideration of the celebrated Kowalevski top, and their role here is analogue to the situation with the classical Kowalevski integration procedure.
Keywords:
integrable dynamical system, Kowalevski top, discriminantly separable polynomials, systems of the Kowalevski type, invariant measure.
\Bibitem{DraKuk11}
\by Vladimir Dragovi\'c, Katarina Kuki\'c
\paper New Examples of Systems of the Kowalevski Type
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 5
\pages 484--495
\mathnet{http://mi.mathnet.ru/rcd464}
\crossref{https://doi.org/10.1134/S1560354711050054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2844859}
\zmath{https://zbmath.org/?q=an:1309.37052}
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https://www.mathnet.ru/eng/rcd464
https://www.mathnet.ru/eng/rcd/v16/i5/p484
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