Noise induced forced synchronization of global variables in coupled bistable systems

TL;DR

This paper investigates how noise can induce synchronization in a system of coupled bistable units under periodic driving, using numerical Langevin equation solutions to analyze phase behavior.

Contribution

It introduces a novel analysis of noise-induced synchronization in finite coupled bistable systems through phase frequency and diffusion metrics.

Findings

Noise can synchronize collective variables with periodic forces.

Phase frequency and diffusion characterize synchronization.

Numerical Langevin solutions reveal the dynamics of the phenomenon.

Abstract

We analyze the noise induced synchronization between a collective variable characterizing a complex system with a finite number of interacting bistable units and time periodic driving forces. A random phase process associated to the collective stochastic variable is defined. Its average phase frequency and average phase diffusion are used to characterize the phenomenon. Our analysis is based on numerical solutions of the corresponding set of Langevin equations.