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nlin.SI2010★ 1 cited
Separation of variables in one partial integrable case of Goryachev
Pavel E. Ryabov
We show that the equations of motion in one partial integrable case of Goryachev in the rigid body dynamics can be separated by the appropriate change of variables, the new variabl…
nlin.SI2010
Analytic classification of singularities in the generalized Kowalevski case
P. E. Ryabov, M. P. Kharlamov
In the problem of motion of the Kowalevski top on two constant fields (the A.G.Reyman - M.A.Semenov-Tian-Shansky case) the type of all critical points of the momentum map is calcul…