Complex Rotating Waves and Long Transients in a Ring Network of Electrochemical Oscillators with Sparse Random Cross-Connections

Michael Sebek, Ralf Tönjes, and István Z. Kiss
Phys. Rev. Lett. 116, 068701 – Published 11 February 2016
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Abstract

We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and nonisochronicity of the interactions on the pattern formation. A few additional links facilitate the emergence of the fully synchronized state. With larger nonisochronicity, complex rotating waves or persistent irregular phase dynamics can derail the convergence to global synchronization. The observed long transients of irregular phase dynamics exemplify the possibility of a sudden onset of hypersynchronous behavior without any external stimulus or network reorganization.

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  • Received 14 July 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.068701

© 2016 American Physical Society

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Authors & Affiliations

Michael Sebek1, Ralf Tönjes2, and István Z. Kiss1

  • 1Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, USA
  • 2Institute of Physics and Astronomy, Potsdam University, 14476 Potsdam-Golm, Germany

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Issue

Vol. 116, Iss. 6 — 12 February 2016

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