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    Coherent Dynamics Enhanced by Uncorrelated Noise

    Zachary G. Nicolaou1, Michael Sebek2,3, István Z. Kiss2, and Adilson E. Motter1,4,*

    • 1Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
    • 2Department of Chemistry, Saint Louis University, St. Louis, Missouri 63103, USA
    • 3Network Science Institute, Northeastern University, Boston, Massachusetts 02115, USA
    • 4Northwestern Institute on Complex Systems, Northwestern University, Evanston, Illinois 60208, USA

    • *motter@northwestern.edu

    Phys. Rev. Lett. 125, 094101 – Published 24 August, 2020

    DOI: https://doi.org/10.1103/PhysRevLett.125.094101

    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.

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