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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 111, Issue 7, Pages 455–461
DOI: https://doi.org/10.31857/S0370274X2007005X
(Mi jetpl6142)
 

This article is cited in 1 scientific paper (total in 1 paper)

PLASMA, HYDRO- AND GAS DYNAMICS

Discrete vortices in systems of coupled nonlinear oscillators: numerical results for an electric model

V. P. Ruban

Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia
Full-text PDF (536 kB) Citations (1)
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Abstract: Vortex coherent structures on arrays of nonlinear oscillators joined by weak links into topologically nontrivial two-dimensional discrete manifolds have been theoretically studied. A circuit of nonlinear electric oscillators coupled by relatively weak capacitances has been considered as a possible physical implementation of such objects. Numerical experiments have shown that a time-monochromatic external force applied to several oscillators leads to the formation of long-lived and nontrivially interacting vortices in the system against the quasistationary background in a wide range of parameters. The dynamics of vortices depends on the method of “coupling” of the opposite sides of a rectangular array by links, which determines the topology of the resulting manifold (torus, Klein bottle, projective plane, Möbius strip, ring, or disk).
Received: 03.03.2020
Revised: 05.03.2020
Accepted: 05.03.2020
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 111, Issue 7, Pages 383–388
DOI: https://doi.org/10.1134/S0021364020070097
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Ruban, “Discrete vortices in systems of coupled nonlinear oscillators: numerical results for an electric model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:7 (2020), 455–461; JETP Letters, 111:7 (2020), 383–388
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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