Coherent Dynamics Enhanced by Uncorrelated Noise

Abstract

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can actually facilitate synchronization, as correlations in the dynamics can be inherited from the noise itself. However, in many spatially distributed networks, such as the mammalian circadian system, the noise that different oscillators experience can be effectively uncorrelated. Here, we show that uncorrelated noise can in fact enhance synchronization when the oscillators are coupled. Strikingly, our analysis also shows that uncorrelated noise can be more effective than common noise in enhancing synchronization. We first establish these results theoretically for phase and phase-amplitude oscillators subject to either or both additive and multiplicative noise. We then confirm the predictions through experiments on coupled electrochemical oscillators. Our findings suggest that uncorrelated noise can promote rather than inhibit coherence in natural systems and that the same effect can be harnessed in engineered systems.

6 pages, 4 figures, plus supplement

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Cited by in corpus (7)

• Random heterogeneity outperforms design in network synchronization
• Enhancing synchronization by optimal correlated noise
• Coherent Dynamics Enhanced by Uncorrelated Noise
• Phase-Amplitude Coupling in Neuronal Oscillator Networks
• Prevalence of multistability and nonstationarity in driven chemical networks
• Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
• Effective synchronization amid noise-induced chaos