Time-delayed feedback in neurosystems

TL;DR

This paper investigates how time delays in coupling and feedback affect synchronization and oscillation patterns in coupled excitable neurons modeled by FitzHugh-Nagumo, revealing controllable synchronization and complex dynamics.

Contribution

It demonstrates how local time-delayed feedback can control synchronization and induce diverse oscillation patterns in coupled neuron models.

Findings

Time delay can enhance or suppress synchronization.

Delayed feedback induces in-phase or antiphase oscillations.

Complex dynamics like bursting or amplitude death can be achieved.

Abstract

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choice of the delay time synchronization can be either enhanced or suppressed. In delay-coupled neurons, antiphase oscillations can be induced for sufficiently large delay and coupling strength. The additional application of time-delayed self-feedback leads to complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns, or amplitude death.