36 citations · 200 across the 32 of their papers we have counts for
34 papers
Regions of existence of critical motions for the generalized Kowalevski top and bifurcation diagrams
Mikhail P. Kharlamov
The paper concludes the cycle of investigations on the bifurcation diagrams of the system with three degrees of freedom which describes the motion of an axially symmetric top with…
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…
Phase topology of one integrable case of the rigid body motion
Mikhail P. Kharlamov
The reduced system in the Clebsch problem of the motion of a rigid body in fluid treated as the motion of a rigid body about its fixed mass center in a central Newtonian field with…
Integral manifolds of the reduced system in the problem of inertial motion of a rigid body about a fixed point
Mikhail P. Kharlamov
The reduced system in the problem of the inertial motion of a rigid body with a fixed point (the Euler case) is equivalent, by the Maupertuis principle, to some geodesic flow on th…
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…