Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model
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).
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- April 2020
- DOI:
- 10.1134/S0021364020070097
- arXiv:
- arXiv:2003.01398
- Bibcode:
- 2020JETPL.111..383R
- Keywords:
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- Nonlinear Sciences - Pattern Formation and Solitons;
- Physics - Classical Physics
- E-Print:
- revtex, 6 pages, 11 figures, in English, published version