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Phys. Rev. Lett. 95, 040601 (2005) [4 pages]

Delay-Induced Excitability

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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

Received 15 November 2004; revised 14 April 2005; published 20 July 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.040601
DOI:
10.1103/PhysRevLett.95.040601
PACS:
05.40.Ca, 05.45.−a, 42.65.Pc, 42.65.Sf
 
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