Oleg Zubelevich

    Leninskie gory 1, Moscow, 119991, Russia
    Lomonosov Moscow State University

    Publications:

    Zubelevich O. E.
    A Particle on a Moving Plane with Coulomb Friction
    2019, Vol. 15, no. 3, pp.  343-349
    Abstract
    This paper is concerned with the motion of a particle on a horizontal vibrating plane with Coulomb friction. It is proved that, when some constant force is added, the system has a periodic solution.
    Keywords: classical mechanics, systems with friction, Filippov’s systems, periodic solutions, differential inclusions
    Citation: Zubelevich O. E.,  A Particle on a Moving Plane with Coulomb Friction, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 3, pp.  343-349
    DOI:10.20537/nd190311
    Zubelevich O. E., Salnikova T. V.
    A note on Lagrange’s top theory
    2018, Vol. 14, no. 1, pp.  139-143
    Abstract
    This article is an extended version of Hadamard’s note devoted to some subtle question that has arisen in the Lagrange top theory. As a rule, this question is not discussed in textbooks.
    Keywords: gyroscopes, motion of a rigid body with a fixed point
    Citation: Zubelevich O. E., Salnikova T. V.,  A note on Lagrange’s top theory, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 1, pp.  139-143
    DOI:10.20537/nd1801011

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