Delay-Induced Excitability

Tomasz Piwonski, John Houlihan, Thomas Busch, Guillaume Huyet

Research output: Contribution to journalArticlepeer-review

68 Citations (Scopus)

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 languageEnglish
Article number040601
Pages (from-to)040601
JournalPhysical Review Letters
Volume95
Issue number4
DOIs
Publication statusPublished - 22 Jul 2005
Externally publishedYes

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