Noise-enhanced stability in synchronized systems
Zhan Shi, Qiangfeng Lü, Mengqi Fu, Xuefeng Wang, Zhilong Huang, Xueyong Wei, Marco Amabili, Ronghua Huan
Abstract
Synchronization underpins coherence in natural and engineered systems, unifying dynamics and countering noise while remaining vulnerable to disturbances threatening the stability and risking desynchronization. Here, we present a counterintuitive approach: harnessing noise to dilute the energy of unwanted fluctuations from external disturbances, thereby enhancing stability while preserving synchronization through the system's inherent noise suppression at the synchronized frequency. Through experiments with micromechanical oscillators and macroscale rotors, combined with stochastic averaging analysis, we show that this noise dilution effect improves synchronization efficiency, bolsters resistance to interference, and enhances long-term frequency stability. These findings position white noise of appropriate intensity as a dilution element for mitigating unwanted disturbances, providing previously unidentified insights into stability and resilience in complex synchronized systems.