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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2013 Volume 9, Number 2, Pages 247–255 (Mi nd388)

Separation of variables for some generalisation of the Kowalevski top

Vitaly A. Khudobakhshov, Alexey P. Sozonov

Saint-Petersburg State University, St. Petersburg, Russia

Abstract: One integrable deformation of the Kowalevski top is studied in framework of the bi-hamiltonian geometry. The main result is the calculation of the variables of separation and of the corresponding quadratures in differential and integral forms.

Keywords: bi-hamiltonian geometry, separation of variables.

UDC: 532.5

MSC: 70H20; 70H06; 37K10

Received: 26.04.2013
Revised: 20.05.2013



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