Geodesic
Critical subsystems of the Kowalevski gyrostat in two constant fields
Russian journal of nonlinear dynamics, Tome 3 (2007) no. 3, pp. 331-348.

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The Kowalevski gyrostat 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 systems in fewer dimensions. As the first approach to topological analysis of this system we find the critical set of the integral map; this set consists of the trajectories with number of frequencies less than three. We obtain the equations of the bifurcation diagram in three-dimensional space of the first integrals constants.
Keywords: Kowalevski gyrostat, two constant fields, critical set, bifurcation diagram. 
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M. P. Kharlamov. Critical subsystems of the Kowalevski gyrostat in two constant fields. Russian journal of nonlinear dynamics, Tome 3 (2007) no. 3, pp. 331-348. http://geodesic.mathdoc.fr/item/ND_2007_3_3_a3/