Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24, Potsdam, 14476, Germany.
Instituto de Física, Universidade de São Paulo, São Paulo, Brazil.
Nat Commun. 2021 Jan 4;12(1):72. doi: 10.1038/s41467-020-20441-4.
Complex networks are abundant in nature and many share an important structural property: they contain a few nodes that are abnormally highly connected (hubs). Some of these hubs are called influencers because they couple strongly to the network and play fundamental dynamical and structural roles. Strikingly, despite the abundance of networks with influencers, little is known about their response to stochastic forcing. Here, for oscillatory dynamics on influencer networks, we show that subjecting influencers to an optimal intensity of noise can result in enhanced network synchronization. This new network dynamical effect, which we call coherence resonance in influencer networks, emerges from a synergy between network structure and stochasticity and is highly nonlinear, vanishing when the noise is too weak or too strong. Our results reveal that the influencer backbone can sharply increase the dynamical response in complex systems of coupled oscillators.
复杂网络在自然界中大量存在，且许多网络具有一个重要的结构特性：它们包含少量异常高度连接的节点（枢纽节点）。其中一些枢纽节点被称为影响者，因为它们与网络强烈耦合，并发挥着基本的动力学和结构作用。引人注目的是，尽管存在大量具有影响者的网络，但对于它们对随机强迫的响应却知之甚少。在这里，我们针对影响者网络上的振荡动力学，展示了将影响者置于最佳噪声强度下可能会导致网络同步增强。这种新的网络动力学效应，我们称之为影响者网络中的相干共振，源自网络结构和随机性之间的协同作用，且具有高度的非线性，当噪声太弱或太强时，它会消失。我们的研究结果表明，在耦合振荡器的复杂系统中，影响者骨干可以显著增强动力学响应。
