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nlin.SI2010★ 1 cited
The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
Irina I. Kharlamova, Gleb E. Smirnov
Consider the integrable problem of motion of a gyrostat with the Kowalevski type inertia tensor in a double force field. We study the special periodic motions (the rank 1 critical…
nlin.SI2010★ 1 cited
Bifurcation diagrams on iso-energetic levels of the Kowalevski-Yehia gyrostat
M. P. Kharlamov, I. I. Kharlamova, E. G. Shvedov
We consider the problem of motion of the heavy gyrostat in the case of Kowalevski-Yehia. To classify the bifurcation diagrams on iso-energetic levels we establish the existence of…