Delay-Induced Excitability

Tomasz Piwonski, John Houlihan, Thomas Busch, and Guillaume Huyet
Phys. Rev. Lett. 95, 040601 – Published 20 July 2005

Abstract

We analyze the stochastic dynamics of a bistable system under the influence of time-delayed feedback. Assuming an asymmetric potential, we show the existence of a regime in which the system dynamics displays excitability by calculating the relevant residence time distributions and power spectra. Experimentally we then observe this behavior in the polarization dynamics of a vertical cavity surface emitting laser with optoelectronic feedback. Extending these observations to two-dimensional systems with diffusive coupling, we finally show numerically that delay-induced excitability can lead to the appearance of propagating wave fronts and spirals.

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  • Received 15 November 2004

DOI:https://doi.org/10.1103/PhysRevLett.95.040601

©2005 American Physical Society

Authors & Affiliations

Tomasz Piwonski1,3, John Houlihan1,2, Thomas Busch1,2, and Guillaume Huyet1,2

  • 1Physics Department, National University of Ireland, University College Cork, Ireland
  • 2Tyndall National Institute, Prospect Row, Cork, Ireland
  • 3Institute of Electron Technology, Warszawa, Poland

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Issue

Vol. 95, Iss. 4 — 22 July 2005

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