Delay Induced Excitability
Statistical Mechanics
2009-11-10 v1 Pattern Formation and Solitons
Abstract
We analyse 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 systems dynamic displays excitability by calculating the relevant residence time distributions and correlation times. Experimentally we then observe this behaviour in the polarization dynamics of a vertical cavity surface emitting laser with opto-electronic feedback. Extending these observations to two-dimensional systems with dispersive coupling we finally show numerically that delay induced excitability can lead to the appearance of propagating wave-fronts and spirals.
Cite
@article{arxiv.cond-mat/0411385,
title = {Delay Induced Excitability},
author = {Tomasz Piwonski and John Houlihan and Thomas Busch and Guillaume Huyet},
journal= {arXiv preprint arXiv:cond-mat/0411385},
year = {2009}
}
Comments
5 pages, 6 figures