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nlin.SI2013
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…
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
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…