Eur. Phys. J. B (2014) 87: 291
https://doi.org/10.1140/epjb/e2014-50541-2

Regular Article

Modulating coherence resonance in non-excitable systems by time-delayed feedback

¹ Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
² Queen Mary, University of London, School of Mathematical Sciences, Mile End Road, London E1 4NS, UK

^a e-mail: schoell@physik.tu-berlin.de

Received: 12 August 2014
Received in final form: 28 October 2014
Published online: 3 December 2014

Abstract

We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance in non-excitable systems. We develop analytical tools to estimate the stationary distribution and the time correlations in nonlinear stochastic delay differential equations. These tools are applied to our model to propose a novel quantity to measure coherence resonance induced by a saddle-node bifurcation of periodic orbits.