Delay-induced excitability

Tomasz Piwonski; John Houlihan; Thomas Busch; Guillaume Huyet

doi:10.1103/PhysRevLett.95.040601

Delay-induced excitability

Tomasz Piwonski
, John Houlihan
, Thomas Busch
, Guillaume Huyet

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	040601
Journal	Physical Review Letters
Volume	95
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.95.040601
Publication status	Published - 22 Jul 2005

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10.1103/PhysRevLett.95.040601

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title = "Delay-induced excitability",

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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AB - 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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DO - 10.1103/PhysRevLett.95.040601

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JO - Physical Review Letters

JF - Physical Review Letters

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Delay-induced excitability

Abstract

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