我们研究了耦合拓扑结构对多种网络化动力系统产生极端事件能力的影响。通过确定在给定系统的集体动力学中引发极端事件所需的临界耦合强度,我们发现该耦合阈值与多种耦合拓扑的拓扑性质(边密度)和谱性质(代数连通度)均呈现类幂律关系。有趣的是,这一关系在很大程度上独立于所研究的具体系统以及极端事件产生的底层机制。这可能表明,所观察到的关系主要由耦合拓扑结构的特性所介导。
We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of a given system, we observe a power-law-like relationship between this coupling threshold and both topological (edge density) and spectral (algebraic connectivity) properties of various coupling topologies. Interestingly, this relationship appears to be largely independent of both the investigated system and the underlying mechanism to generate extreme events. This may indicate that the observed relationship is primarily mediated by aspects of the coupling topology.