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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, Issue 2, Pages 3–11
DOI: https://doi.org/10.20537/vm130201 (Mi vuu372) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

On Lorenz-like attractors in model of celtic stone

A. S. Gonchenko

Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod, Russia
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DOI: https://doi.org/10.20537/vm130201
Abstract: We study chaotic dynamics in a nonholonomic model of celtic stone. 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 study certain steps of appearance and break-down of this attractor.
Keywords: celtic stone, nonholonomic model, Lorenz-like attractor, chaotic dynamics.
Received: 25.04.2013
Document Type: Article
UDC: 517.925+517.3
MSC: 37J60, 37N15, 37G35
Language: Russian
Citation: A. S. Gonchenko, “On Lorenz-like attractors in model of celtic stone”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 2, 3–11
Citation in format AMSBIB
\Bibitem{Gon13}
\by A.~S.~Gonchenko
\paper On Lorenz-like attractors in model of celtic stone
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 2
\pages 3--11
\mathnet{http://mi.mathnet.ru/vuu372}
\crossref{https://doi.org/10.20537/vm130201}
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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