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Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
Published on: September 21, 2017
Noise-enhanced stability in synchronized systems
Zhan Shi1,2, Qiangfeng Lv1, Mengqi Fu3
1Department of Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China.
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.
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