Analysis of Firing Behaviors in Networks of Pulse-Coupled Oscillators with Delayed Excitatory Coupling

TL;DR

This paper investigates how firing behaviors in networks of pulse-coupled oscillators are affected by coupling strength and delay, revealing distinct regions with different synchronization and firing properties.

Contribution

It provides a novel analysis of parameter-dependent firing behaviors and synchronization in pulse-coupled oscillator networks with delays.

Findings

Partition of parameter space into two regions with distinct behaviors

Derived a lower bound on interspike intervals in one region

Identified different synchronization patterns in the two regions

Abstract

For networks of pulse-coupled oscillators with delayed excitatory coupling, we analyze the firing behaviors depending on coupling strength and transmission delay. The parameter space consisting of strength and delay is partitioned into two regions. For one region, we derive a low bound of interspike intervals, from which three firing properties are obtained. However, this bound and these properties would no longer hold for another region. Finally, we show the different synchronization behaviors for networks with parameters in the two regions.