Synchronization in a ring of pulsating oscillators with bidirectional couplings

TL;DR

This paper investigates how a ring of pulsating oscillators with bidirectional coupling achieves synchronization, analyzing the conditions and time required for full synchronization through theoretical and numerical methods.

Contribution

It provides new insights into the synchronization conditions and times in a 1D ring of pulsating oscillators with bidirectional interactions.

Findings

Synchronization conditions identified

Time to synchronize quantified

Theoretical and numerical results aligned

Abstract

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach fully synchronization and to invewstigate the time needed to get such state. We present both theoretical and numerical results.