Phase reduction of stochastic limit cycle oscillators

TL;DR

This paper corrects the phase reduction method for stochastic limit cycle oscillators driven by weak white Gaussian noise, providing a more accurate approximation of their dynamics compared to previous approaches.

Contribution

It introduces a correct phase reduction technique for stochastic oscillators, addressing inaccuracies in prior literature.

Findings

The new phase reduction method accurately models oscillator dynamics.

Numerical simulations confirm the validity of the corrected phase equation.

Previous methods were shown to be incorrect in literature.

Abstract

We point out that the phase reduction of stochastic limit cycle oscillators has been done incorrectly in the literature. We present a correct phase reduction method for oscillators driven by weak external white Gaussian noises. Numerical evidence demonstrates that the present phase equation properly approximates the dynamics of the original full oscillator system.