Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment

TL;DR

This paper explores how time delay in feedback control affects noise-induced oscillations near a subcritical Hopf bifurcation, demonstrating suppression or enhancement of coherence resonance through theory, simulations, and experiments.

Contribution

It provides a combined theoretical, numerical, and experimental analysis of time delay effects on coherence resonance in a generalized Van der Pol oscillator.

Findings

Time delay can suppress coherence resonance.

Time delay can enhance coherence resonance.

Experimental results confirm theoretical predictions.

Abstract

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay either suppression or enhancement of coherence resonance can de achieved. Analytical calculations are combined with numerical simulations and experiments on an electronic circuit.