Electronic and Mechanical Realizations of One-Way Coupling in One and Two Dimensions

Authors

B. J. Breen, University of Portland
A. B. Doud, University of Portland
J. R. Grimm, University of Portland
A. H. Tanasse, University of Portland
S. J. Tanasse, University of Portland
John F. Lindner, University of Portland
Katsuo J. Maxted, The College of Wooster

Publication Date

2011

Document Type

Article

Issue

3

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. © 2011 American Physical Society.

Recommended Citation

Breen, B. J.; Doud, A. B.; Grimm, J. R.; Tanasse, A. H.; Tanasse, S. J.; Lindner, John F.; and Maxted, Katsuo J., "Electronic and Mechanical Realizations of One-Way Coupling in One and Two Dimensions" (2011). Physical Review E., (3). 10.1103/PhysRevE.83.037601. Retrieved from https://openworks.wooster.edu/facpub/131