Dynamically-Coupled Oscillators -- Cooperative Behavior via Dynamical Interaction --

TL;DR

This paper introduces a theoretical framework for dynamically coupled oscillators with dynamical interactions, explaining synchronization phenomena in inhibitory neural networks and identifying frequency-dependent synchronization breakdowns.

Contribution

It presents a novel model of DCOs with dynamical interactions that cause phase lags, advancing understanding of neural synchronization mechanisms.

Findings

Synchronization occurs at high frequencies in the model.

Synchronization breaks down below 20 Hz, matching neural observations.

Dynamical interactions influence phase lag and synchronization behavior.

Abstract

We propose a theoretical framework to study the cooperative behavior of dynamically coupled oscillators (DCOs) that possess dynamical interactions. Then, to understand synchronization phenomena in networks of interneurons which possess inhibitory interactions, we propose a DCO model with dynamics of interactions that tend to cause 180-degree phase lags. Employing an approach developed here, we demonstrate that although our model displays synchronization at high frequencies, it does not exhibit synchronization at low frequencies because this dynamical interaction does not cause a phase lag sufficiently large to cancel the effect of the inhibition. We interpret the disappearance of synchronization in our model with decreasing frequency as describing the breakdown of synchronization in the interneuron network of the CA1 area below the critical frequency of 20 Hz.