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Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model

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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).

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    V. P. Ruban

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  1. V. P. Ruban
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Correspondence to V. P. Ruban.

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Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 111, No. 7, pp. 455–461.

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Ruban, V.P. Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model. Jetp Lett. 111, 383–388 (2020). https://doi.org/10.1134/S0021364020070097

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