12 citations · 25 across the 8 of their papers we have counts for
9 papers
Phase topology of the Kowalevski-Sokolov top
Pavel E. Ryabov, Alexander Y. Savushkin
The phase topology of the integrable Hamiltonian system on found by V.V.Sokolov (2001) and generalizing the Kowalevski case is investigated. The generalization contains, alo…
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…
An explicit integration of a problem of motion of a generalized Kovalevskaya top
Mikhail P. Kharlamov, Alexander Y. Savushkin
The complete variables separation is given for one Hamiltonian system with two degrees of freedom arising in the motion of the Kowalevski type top in two constant fields.
On the geometry of motions in one integrable problem of the rigid body dynamics
Irina I. Kharlamova, Alexander Yu. Savushkin
Due to Poinsot's theorem, the motion of a rigid body about a fixed point is represented as rolling without slipping of the moving hodograph of the angular velocity over the fixed o…
Bifurcation diagrams of the integral mappings of a top with singular symmetry
Alexander Y. Savushkin, Irina I. Kharlamova
In general case, a Hamiltonian system with three degrees of freedom describing the motion of a rigid body in two constant fields does not admit any symmetry groups. H.Yehia has fou…
Types of critical points of the Kowalevski gyrostat in double field
M. P. Kharlamov, P. E. Ryabov, A. Y. Savushkin +1
The problem of motion of the Kowalevski type gyrostat in double force field is considered. According to the classification used in the theory of Liouville integrable Hamiltonian sy…