Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 77–89 (Mi nd371)  

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
Full-text PDF (768 kB) Citations (3)
References:
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
Document Type: Article
UDC: 517.925 + 517.3
MSC: 37J60, 37N15, 37G35
Language: Russian
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
Citation in format AMSBIB
\Bibitem{GonGon13}
\by Alexander~S.~Gonchenko, Sergey~V.~Gonchenko
\paper On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 1
\pages 77--89
\mathnet{http://mi.mathnet.ru/nd371}
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  • https://www.mathnet.ru/eng/nd371
  • https://www.mathnet.ru/eng/nd/v9/i1/p77
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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