36 citations · 77 across the 5 of their papers we have counts for
5 papers
One class of solutions with two invariant relations for the problem of motion of the Kowalevski top in double constant field
Mikhail P. Kharlamov
Consider a rigid body having a fixed point in a superposition of two constant force fields (for example, gravitational and magnetic). Introducing the condition of Kowalevski type,…
Separation of variables in the generalized 4th Appelrot class
Mikhail P. Kharlamov
We consider the analogue of the 4th Appelrot class of motions of the Kowalevski top for the case of two constant force fields. The trajectories of this family fill the four-dimensi…
Bifurcation diagrams of the Kowalevski top in two constant fields
Mikhail P. Kharlamov
The Kowalevski top in two constant fields is known as the unique profound example of an integrable Hamiltonian system with three degrees of freedom not reducible to a family of sys…
Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top
Mikhail P. Kharlamov, Alexander Y. Savushkin
In the phase space of the integrable Hamiltonian system with three degrees of freedom used to describe the motion of a Kowalevski-type top in a double constant force field, we poin…
Explicit integration of one problem of motion of the generalized Kowalevski top
Mikhail P. Kharlamov, Alexander Y. Savushkin
In the problem of motion of the Kowalevski top in a double force field the 4-dimensional invariant submanifold of the phase space was pointed out by M.P.Kharlamov (Mekh. Tverd. Tel…