Crystals (Jan 2021)

Non-Reciprocal Supratransmission in Mechanical Lattices with Non-Local Feedback Control Interactions

  • Jack E. Pechac,
  • Michael J. Frazier

DOI
https://doi.org/10.3390/cryst11020094
Journal volume & issue
Vol. 11, no. 2
p. 94

Abstract

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We numerically investigate the supratransmission phenomenon in an active nonlinear system modeled by the 1D/2D discrete sine-Gordon equation with non-local feedback. While, at a given frequency, the typical passive system exhibits a single amplitude threshold marking the onset of the phenomenon, we show that the inclusion of non-local feedback manifests additional thresholds that depend upon the specific boundary from which supratransmission is stimulated, realizing asymmetric (i.e., non-reciprocal) dynamics. The results illustrate a new means of controlling nonlinear wave propagation and energy transport for, e.g., signal amplification and mechanical logic.

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