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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 77–89
(Mi nd371)
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This article is cited in 3 scientific papers (total 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.
Received: 07.02.2013 Revised: 22.03.2013
Citation:
Alexander S. Gonchenko, Sergey V. Gonchenko, “On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones”, Nelin. Dinam., 9:1 (2013), 77–89
Linking options:
https://www.mathnet.ru/eng/nd371 https://www.mathnet.ru/eng/nd/v9/i1/p77
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