Delayed feedback as a means of control of noise-induced motion

TL;DR

This paper demonstrates how time-delayed feedback can effectively control noise-induced oscillations in coherence resonance systems, stabilizing or entraining their frequency and regularity by adjusting the delay parameter.

Contribution

It introduces a method to manipulate noise-induced motion using delayed feedback, enabling stabilization and entrainment of oscillation frequencies in coherence resonance systems.

Findings

Delayed feedback can increase or decrease motion regularity.

It stabilizes oscillation frequency against noise variations.

It enables control of oscillation timescales through delay adjustment.

Abstract

Time--delayed feedback is exploited for controlling noise--induced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in an excitable system, delayed feedback can stabilize the frequency of oscillations against variation of noise strength. Also, for fixed noise intensity, the phenomenon of entrainment of the basic oscillation period by the delayed feedback occurs. This allows one to steer the timescales of noise-induced motion by changing the time delay.