Geodesic
On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 77-89

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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. 
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     author = {Alexander S. Gonchenko and Sergey V. Gonchenko},
     title = {On existence of {Lorenz-like} attractors in a nonholonomic model of {Celtic} stones},
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Alexander S. Gonchenko; Sergey V. Gonchenko. On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/ND_2013_9_1_a6/