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    Critical subsystems of the Kowalevski gyrostat in two constant fields

    2007, Vol. 3, No. 3, pp.  331-348

    Author(s): Kharlamov M. P.

    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
    Citation: Kharlamov M. P., Critical subsystems of the Kowalevski gyrostat in two constant fields, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 3, pp.  331-348
    DOI:10.20537/nd0703004


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