Coherence resonance in influencer networks

Abstract

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.

the arxiv submission includes supplementary notes. Fig.1 pdf repaired in current version

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Cited by in corpus (7)

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• Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
• Chimera states through invariant manifold theory
• Emergence of chaotic cluster synchronization in heterogeneous networks
• Cycle-Star Motifs: Network Response to Link Modifications
• Notes on Resonant and Synchronized States in Complex Networks
• Mean-field and fluctuations for hub dynamics in heterogeneous random networks