Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 2, Pages 255–265 (Mi nd37)  

This article is cited in 4 scientific papers (total in 4 papers)

Visualization of phase trajectories of the Rikitake dynamic system

V. I. Potapov

Norilsk Industrial Institute
Full-text PDF (561 kB) Citations (4)
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Abstract: In paper the computer research of four-dimensional dynamic system with three parameters adequately describing behavior of model coupled Dynamo in view of viscous friction is carried out. Is shown, that in this system there are five equilibrium states: four stable are focuses–node and one is saddle $(3,1)$. Are established the bifurcations of the spatial overwound cycles appropriate to doubling of the period of oscillations dynamic variable and resulting to chaotic oscillations at increase of the relation of factors friction.
Keywords: Rikitake system, equilibrium states, limit cycles, chaos.
Received: 10.01.2010
Document Type: Article
UDC: 517.925.41/42
MSC: 70H05, 70K44
Language: Russian
Citation: V. I. Potapov, “Visualization of phase trajectories of the Rikitake dynamic system”, Nelin. Dinam., 6:2 (2010), 255–265
Citation in format AMSBIB
\Bibitem{Pot10}
\by V.~I.~Potapov
\paper Visualization of phase trajectories of the Rikitake dynamic system
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 2
\pages 255--265
\mathnet{http://mi.mathnet.ru/nd37}
Linking options:
  • https://www.mathnet.ru/eng/nd37
  • https://www.mathnet.ru/eng/nd/v6/i2/p255
  • 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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    Full-text PDF :119
    References:36
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