54 citations · 777 across the 87 of their papers we have counts for
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On integration of the Kowalevski gyrostat and the Clebsch problems
I V Komarov, A V Tsiganov
For the Kowalevski gyrostat change of variables similar to that of the Kowalevski top is done. We establish one to one correspondence between the Kowalevski gyrostat and the Clebsc…
On integrable system on with the second integral quartic in the momenta
A. V. Tsiganov
We consider integrable system on the sphere with an additional integral of fourth order in the momenta. At the special values of parameters this system coincides with the Kow…
On a family of integrable systems on with a cubic integral of motion
A. V. Tsiganov
We discuss a family of integrable systems on the sphere with an additional integral of third order in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev…
Classical R-matrices for generalized so(p,q) tops
Andrey Tsiganov
An integrable deformation of the known integrable model of two interacting p-dimensional and q-dimensional spherical tops is considered. After reduction this system gives rise to t…