无标度相互依赖网络中的级联故障
Cascading failures in scale-free interdependent networks
摘要:
大型叶栅是许多自然和工程复杂系统中常见的现象。在本文中,我们探索的级联网络中使用现实的网络拓扑结构,如异构度分布,以及内部和层间的程度相关性的传播。我们发现,三个属性,无标度分布,内部网络的可扩展性,和跨网络枢纽枢纽到枢纽的连接,都是必要的组件,以显着减少大型级联的大小在巴克唐-维森菲尔德沙堆模型。我们证明了多层网络结构中存在的相关性会影响动态级联过程,并可以防止故障跨连接层传播。这些发现突出了内部和跨网络拓扑结构在优化互联系统的稳定性和鲁棒性方面的重要性。
英文摘要:
Large cascades are a common occurrence in many natural and engineered complex systems. In this paper we explore the propagation of cascades across networks using realistic network topologies, such as heterogeneous degree distributions, as well as intra- and interlayer degree correlations. We find that three properties, scale-free degree distribution, internal network assortativity, and cross-network hub-to-hub connections, are all necessary components to significantly reduce the size of large cascades in the Bak-Tang-Wiesenfeld sandpile model. We demonstrate that correlations present in the structure of the multilayer network influence the dynamical cascading process and can prevent failures from spreading across connected layers. These findings highlight the importance of internal and cross-network topology in optimizing stability and robustness of interconnected systems.
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