New variables of separation for particular case of the Kowalevski top

2010, Volume 15, Number 6, pp. 659-669

Author(s): Tsiganov A. V.

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.

Keywords: Kowalevski top, separation of variables, bi-Hamiltonian geometry, differential geometry, algebraic curves

Citation: Tsiganov A. V., New variables of separation for particular case of the Kowalevski top, Regular and Chaotic Dynamics, 2010, Volume 15, Number 6, pp. 659-669

DOI: 10.1134/S156035471006002X

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