Nonresonant entrainment of detuned oscillators induced by common external noise

TL;DR

This paper discovers a new form of entrainment in nonidentical oscillators caused by common noise, where their phases synchronize despite differing mean frequencies, supported by theory and simulations.

Contribution

It introduces a novel type of noise-induced entrainment where oscillators lock phases without frequency synchronization, expanding understanding of stochastic synchronization phenomena.

Findings

Oscillators exhibit phase locking despite frequency differences.

Entrainment persists across varying noise intensities.

Theoretical and numerical evidence support the phenomenon.

Abstract

We have found that a novel type of entrainment occurs in two nonidentical limit cycle oscillators subjected to a common external white Gaussian noise. This entrainment is anomalous in the sense that the two oscillators have different mean frequencies, where the difference is constant as the noise intensity increases, but their phases come to be locked for almost all the time. We present a theory and numerical evidence for this phenomenon.