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nlin.SI2013
The electronic atlas of bifurcation diagrams of the Kowalevski-Yehia gyrostat
Irina I. Kharlamova, Pavel E. Ryabov
The integrable case of Kowalevski-Yehia in the dynamics of a gyrostat is considered. We present the new way to classify the bifurcation diagrams of the reduced systems. We find the…
nlin.SI2013
The atlas of the diagrams for the generalization of the 4th Appelrot class of especially remarkable motions to a gyrostat in a double force field
Pavel E. Ryabov, Gleb E. Smirnov, Mikhail P. Kharlamov
For the system with two degrees of freedom, which is an analogue of the 4th Appelrot class for a gyrostat of the Kowalevski type in a double force field the problem of the classifi…
nlin.SI2013
Phase topology of one nonclassical integrable problem of dynamics
Pavel E. Ryabov
We consider the integrable system with three degrees of freedom for which Sokolov and Tsiganov specified Lax representation. Lax representation generalizes L-A pair of the Kowalevs…