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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2013 Volume 9, Number 1, Pages 77–89 (Mi nd371)

This article is cited in 3 papers

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

Alexander S. Gonchenko, Sergey V. Gonchenko

Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod, Russia

Abstract: 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.

UDC: 517.925 + 517.3

MSC: 37J60, 37N15, 37G35

Received: 07.02.2013
Revised: 22.03.2013



© Steklov Math. Inst. of RAS, 2025