Feedback Induced Death in Coupled Oscillators

TL;DR

This paper explores how feedback mechanisms can induce oscillation death in coupled nonlinear oscillators, expanding the conditions under which oscillation suppression occurs, including in identical oscillators, with potential applications in controlling chaotic systems.

Contribution

It demonstrates that feedback can induce oscillation death in both small and large oscillator systems, even in identical oscillators, and identifies two distinct mechanisms for this phenomenon.

Findings

Feedback enlarges the parameter space for oscillation death.

Oscillation death can occur via desynchronization or complete synchronization.

Feedback-induced oscillation death can suppress chaotic oscillations.

Abstract

We investigate oscillation death in systems of coupled nonlinear oscillators with feedback loop. We find that feedback results in oscillation death both in small sets or large ensembles. More importantly, the death zone in parameter space is significantly enlarged and oscillation death could occur even in coupled identical oscillators in the presence of feedback. We find that there are two different ways to oscillation death, namely desynchronization and completely synchronization induced oscillation death. Feedback induced oscillation death may be used to suppress unexpected oscillations, e.g., in chaotic laser arrays.