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Electronic and mechanical realizations of one-way coupling in one and two dimensions

Barbara J. Breen, Aaron B. Doud, Jamie R. Grimm, Andrew H. Tanasse, and Stuart J. Tanasse

John F. Lindner and Katsuo J. Maxted

  • Physics Department, The University of Portland, Portland, Oregon 97203, USA

  • Physics Department, The College of Wooster, Wooster, Ohio 44691, USA

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Phys. Rev. E 83, 037601 – Published 3 March, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.037601

Abstract

One-way or unidirectional coupling is a striking example of how topological considerations—the parity of an array of multistable elements combined with periodic boundary conditions—can qualitatively influence dynamics. Here we introduce a simple electronic model of one-way coupling in one and two dimensions and experimentally compare it to an improved mechanical model and an ideal mathematical model. In two dimensions, computation and experiment reveal richer one-way coupling phenomenology: In media where two-way coupling would dissipate all excitations, one-way coupling enables solitonlike waves to propagate in different directions with different speeds.

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References (13)

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Phys. Rev. E 83, 037601– Published 3 March, 2011
  • Received 2 August 2010
Article part of CHORUS

©2011 American Physical Society

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