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

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.

References in corpus (1)

• Control of coherence resonance in semiconductor superlattices

Cited by in corpus (3)

• Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
• Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment
• Delay-induced self-oscillation excitation in the FitzHugh-Nagumo model: regular and chaotic dynamics