10 citations · 40 across the 19 of their papers we have counts for
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Topological atlas of the Kovalevskaya top in a double field
Mikhail P. Kharlamov, Pavel E. Ryabov
We fulfill the rough topological analysis of the problem of the motion of the Kovalevskaya top in a double field. This problem is described by a completely integrable system with t…
Topological atlas of the Kowalevski--Yehia gyrostat: analytical results and topological analysis
Mikhail P. Kharlamov, Pavel E. Ryabov, Irina I. Kharlamova +2
We present a review of the results obtained during the last fifty years in the problem of the motion of a heavy gyrostat under the conditions of the Kowalevski type. Hamad M. Yehia…
Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field
P. E. Ryabov, M. P. Kharlamov
The problem of motion of the Kovalevskaya top in a double force field is investigated (the integrable case of A.G. Reyman and M.A. Semenov-Tian-Shansky without a gyrostatic momentu…
New invariant relations for the generalized two-field gyrostat
Pavel E. Ryabov
In the paper, we consider a completely integrable Hamiltonian system with three degrees of freedom found by V.V.Sokolov and A.V.Tsiganov. This system is known as the generalized tw…