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    Stability of steady rotations in the non-holonomic Routh problem

    2006, Vol. 2, No. 3, pp.  333-345

    Author(s): Borisov A. V., Kilin A. A., Mamaev I. S.

    We have discovered a new first integral in the problem of motion of a dynamically symmetric ball, subject to gravity, on the surface of a paraboloid. Using this integral, we have obtained conditions for stability (in the Lyapunov sense) of steady rotations of the ball in the upmost, downmost and saddle point.



    Keywords: nonholonomic constraint, stationary rotations, stability
    Citation: Borisov A. V., Kilin A. A., Mamaev I. S., Stability of steady rotations in the non-holonomic Routh problem, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 3, pp.  333-345
    DOI:10.20537/nd0603006


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