Eur. Phys. J. B (2012) 85: 182
https://doi.org/10.1140/epjb/e2012-30116-1

Regular Article

Coherence and spike death induced by bounded noise and delayed feedback in an excitable system

Department of Physics, Yunnan University, Kunming 650091, P.R. China

^a e-mail: meidch@ynu.edu.cn

Received: 8 February 2012
Received in final form: 11 March 2012
Published online: 4 June 2012

Abstract

The FitzHugh-Nagumo model with bounded noise and delayed feedback is numerically investigated. A minimum of the coefficient of variation (R) of interspike intervals is observed both as a function of the noise intensity and as a function of the noise correlation time, viz, the coherence resonance phenomenon. Also, in the scenario of purely noise-sustained irregular oscillations, there exists a maximum of R as a function of the delay time (τ_d) of feedback, namely, the suppressed coherence. Moreover, in the scenario of purely noise-sustained regular oscillations, the R with multiple peaks as a function of τ_d can be observed, that is, the oscillatory coherence. Additionally, within the tailored parameter regime, spike death phenomenon can be obtained. These results may be helpful for making artificial devices.