Synchronization efficiency in coupled stochastic oscillators: The role of connection topology

TL;DR

This paper investigates how the topology of connections influences synchronization efficiency in coupled stochastic oscillators, revealing that global mean-field coupling and increased molecular complexity enhance synchronization rates.

Contribution

It introduces a chemical Langevin equation approach and recurrence plot analysis to quantify synchronization rates in stochastic oscillator ensembles, highlighting the impact of connection topology.

Findings

Global mean-field coupling accelerates synchronization

Increasing molecular species enhances synchronization rate

Langevin analysis aligns with numerical simulations

Abstract

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in the Hilbert phases of the systems evolve provides a suitable order parameter, and a 2--dimensional recurrence plot further facilitates the analysis of stochastic synchrony. We find that a global mean--field coupling effects the most rapid approach to global synchrony, and that when the number of "information carrying" molecular species increases, the rate of synchrony increases. The Langevin analysis is complemented by numerical simulations.