Knotted solitons in nonlinear magnetic metamaterials |
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Authors: | Rosanov Nikolay N Vysotina Nina V Shatsev Anatoly N Desyatnikov Anton S Kivshar Yuri S |
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Affiliation: | National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg 197101, Russia. |
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Abstract: | We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes--knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling. |
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