Chaotic synchronization induced by external noise in coupled limit cycle oscillators

TL;DR

This paper presents a solvable model demonstrating how external white Gaussian noise can induce chaotic synchronization in a system of globally coupled limit cycle oscillators, revealing macroscopic chaos through nonlinear Fokker-Planck analysis.

Contribution

It introduces a new solvable model for noise effects on coupled oscillators and analytically derives the averaged motion equations without approximation.

Findings

Noise induces macroscopic chaotic behavior in the system.

Chaotic synchronization emerges with increasing noise intensity.

The model provides exact analysis of noise effects on coupled oscillators.

Abstract

A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. The oscillators are under the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely coupled oscillators is derived without any approximation through an analysis based on the nonlinear Fokker--Planck equation. Chaotic synchronization associated with the appearance of macroscopic chaotic behavior is shown by investigating the changes in averaged motion with increasing noise intensity.