36 citations · 200 across the 32 of their papers we have counts for
3 papers · 1 filter
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…
Geometrical approach to separation of variables in mechanical systems
Mikhail P. Kharlamov, Alexander Y. Savushkin
The article presents a compact review of the analytical results (2002-2009) in the study of the system describing the motion of a top in two constant fields. The Liouville integrab…
Smale-Fomenko diagrams and rough topological invariants of the Kowalevski-Yehia case
M. P. Kharlamov, P. E. Ryabov
We present the complete analytical classification of the atoms arising at the critical points of rank 1 of the Kowalevski-Yehia gyrostat. To classify the Smale-Fomenko diagrams, al…