论文标题

不相关的噪声增强了连贯的动力学

Coherent Dynamics Enhanced by Uncorrelated Noise

论文作者

Nicolaou, Zachary G., Sebek, Michael, Kiss, Istvan Z., Motter, Adilson E.

论文摘要

同步是在物理,生物和社交网络中观察到的一种广泛的现象,即使在强噪声的影响下,它仍然存在。先前对振荡器受到共同噪声的研究表明,噪声实际上可以促进同步,因为动力学中的相关性可以从噪声本身继承。但是,在许多空间分布的网络(例如哺乳动物昼夜节律系统)中,不同振荡器体验的噪声可以有效地不相关。在这里,我们表明,当振荡器耦合时,不相关的噪声实际上可以增强同步。令人惊讶的是,我们的分析还表明,在增强同步时,不相关的噪声比共同噪声更有效。我们首先在理论上对相位和相位振幅振荡器的理论上建立了这些结果,但要受到添加剂和乘法噪声的影响。然后,我们通过对耦合电化学振荡器的实验确认预测。我们的发现表明,不相关的噪声可以促进而不是抑制自然系统中的连贯性,并且在工程系统中可以利用相同的效果。

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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