Two distinct transitions in a population of coupled oscillators with turnover: desynchronization and stochastic oscillation quenching

TL;DR

This paper investigates how coupling and turnover influence synchronization in populations of oscillators, revealing two distinct transitions: desynchronization and stochastic oscillation quenching, with the latter requiring strong coupling and turnover.

Contribution

It introduces the concept of stochastic oscillation quenching and analyzes its emergence due to the interplay of coupling and turnover in oscillator populations.

Findings

Desynchronization transition occurs with varying coupling and turnover.

Stochastic oscillation quenching requires both strong coupling and turnover.

Two distinct phase transitions are identified in the system.

Abstract

Synchronization, which is caused by mutual coupling, and turnover, which is the replacement of old components with new ones, are observed in various open systems consisting of many components. Although these phenomena can co-occur, the interplay of coupling and turnover has been overlooked. Here, we analyze coupled phase oscillators with turnover and reveal that two distinct transitions occur, depending on both coupling and turnover: desynchronization and what we name stochastic oscillation quenching. Importantly, the latter requires both the turnover and coupling to be sufficiently intense.