Delay-induced excitability

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Date
2005
Authors
Piwonski, Tomasz
Houlihan, John
Busch, Thomas
Huyet, Guillaume
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American Physical Society
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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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Keywords
Spiral waves , Random walks , Resonance , Systems , Driven , Lasers , Noise
Citation
Piwonski, T., Houlihan, J., Busch, T. and Huyet, G. (2005) 'Delay-induced excitability', Physical Review Letters, 95(4), 040601 (4pp). doi: 10.1103/PhysRevLett.95.040601
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© 2005, American Physical Society