Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 483–496 (Mi nd337)  
This article is cited in 4 scientific papers (total in 4 papers)

Reduplication of chaotic attractors and construction of compound multiattractors

Vadim G. Prokopenko

Southern Federal University, B. Sadovaia st. 105, Rostov-on-Don, 344006, Russia
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Abstract: This paper is concerned with a method for forming compound (composite) chaotic multiattractors using the Lorentz equations as an example. These multiattractors are a union of several local attractors which are copies of some initial chaotic attractor.
Keywords: nonlinear dynamic system, autostochastic system, chaotic attractor, Lorentz attractor, compound multiattractor, metastable attractor, multisegment nonlinearity, intermittency, chaotic switchings, reduplication operator.
Received: 16.01.2011
Revised: 14.03.2011
Document Type: Article
UDC: 517.9+621.372.011.7
MSC: 34F05, 60G05, 60G20, 60G35, 93E35
Language: Russian
Citation: Vadim G. Prokopenko, “Reduplication of chaotic attractors and construction of compound multiattractors”, Nelin. Dinam., 8:3 (2012), 483–496
Citation in format AMSBIB
\Bibitem{Pro12}
\by Vadim~G.~Prokopenko
\paper Reduplication of chaotic attractors and construction of compound multiattractors
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 3
\pages 483--496
\mathnet{http://mi.mathnet.ru/nd337}
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  • https://www.mathnet.ru/eng/nd/v8/i3/p483
    • This publication is cited in the following 4 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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