Time-delayed feedback control of delay-coupled neurosystems and lasers

TL;DR

This paper explores how time-delayed feedback control can stabilize and manipulate dynamics in delay-coupled neural and laser systems, demonstrating suppression of pulsations and control of oscillatory patterns.

Contribution

It introduces the application of multiple time-delayed feedback to neural and laser models, showing new control strategies for complex dynamical behaviors.

Findings

Delayed feedback induces various oscillation patterns in neural systems.

Multiple time-delayed feedback stabilizes continuous-wave laser operation.

Feedback control can suppress unwanted pulsations in lasers.

Abstract

We discuss applications of time-delayed feedback control to delay-coupled neural systems and lasers, in the framework of the FitzHugh-Nagumo neuron model and the Lang-Kobayashi laser model, respectively. In the context of neural systems, we will point out some complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns, or amplitude death, induced by delayed coupling in combination with delayed self-feedback in simple network motifs. For optical systems, we will show that multiple time-delayed feedback, realized by a Fabry-Perot resonator coupled to the laser, provides a valuable tool for the suppression of unwanted intensity pulsations, and leads to stable continuous-wave operation.