On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones


    2013, Vol. 9, No. 1, pp.  77-89

    Author(s): Gonchenko A. S., Gonchenko S. V.

    We consider a nonholonomic model of movement of celtic stone on the plane. We show that, for certain values of parameters characterizing geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We have traced both scenarios of appearance and break-down of this attractor.
    Keywords: celtic stone, nonholonomic model, the Lorenz attractor, Lorenz-like attractor for diffeomorphisms, chaotic dynamics
    Citation: Gonchenko A. S., Gonchenko S. V., On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones, Rus. J. Nonlin. Dyn., 2013, Vol. 9, No. 1, pp.  77-89
    DOI:10.20537/nd1301007


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