Cascading failures in scale-free interdependent networks

Abstract

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.

References in corpus (23)

• Assortative mixing in networks
• Catastrophic cascade of failures in interdependent networks
• Multilayer Networks
• Resilience of the Internet to random breakdowns
• Scale-free brain functional networks
• Breakdown of the Internet under intentional attack
• Emergent complex neural dynamics
• Generation of uncorrelated random scale-free networks
• Dynamical synapses causing self-organized criticality in neural networks
• Suppressing cascades of load in interdependent networks
• Avoiding catastrophic failure in correlated networks of networks
• Sandpile on Scale-Free Networks
• Construction and properties of assortative random networks
• Pathways towards instability in financial networks
• Rescuing ecosystems from extinction cascades through compensatory perturbations
• Robustness and Assortativity for Diffusion-like Processes in Scale-free Networks
• Assortative mixing in functional brain networks during epileptic seizures
• Vulnerability and co-susceptibility determine the size of network cascades
• Controlling Self-Organizing Dynamics on Networks Using Models that Self-Organize
• Anomalous Power Law Distribution of Total Lifetimes of Branching Processes Relevant to Earthquakes
• Controlling self-organized criticality in sandpile models
• Forest-fire models as a bridge between different paradigms in Self-Organized Criticality
• A Bottom-Up Model of Self-Organized Criticality on Networks

Cited by in corpus (8)

• Explosive Phenomena in Complex Networks
• Robustness of supply chain networks against underload cascading failures
• How motifs condition critical thresholds for tipping cascades in complex networks: Linking Micro- to Macro-scales
• Abrupt transition due to non-local cascade propagation in multiplex systems
• Degree-targeted cascades in modular, degree-heterogeneous networks
• Optimal location of reinforced inertia to stabilize power grids
• Crash dynamics of interdependent networks
• Sandpile cascades on oscillator networks: the BTW model meets Kuramoto