Cascading failures of k uniform hyper-network based on the hyper adjacent matrix

Xiujuan Ma, Fuxiang Ma, Jun Yin and Haixing Zhao

Physica A: Statistical Mechanics and its Applications, 2018, vol. 510, issue C, 281-289

Abstract: Cascading failures are widely found in hyper-networks. In this paper, a new cascading failure model based on couple map lattice is proposed in terms of the hyper-adjacent matrix and joint degree. The cascading failure model is rather universal describing the cascading failure behavior of k uniform hyper-network and many typical complex networks. Simulation results show that 3 uniform scale-free hyper-network is robust against random attacks but is vulnerable to deliberate attacks. In addition, a scale-free hyper-network is more robust than a general complex network against the same attack. Finally, an approximate solution to the disturbance threshold of k uniform scale-free hyper-network is obtained.

Keywords: Hyper-network; Cascading failure; Hyper-adjacent matrix; Joint degree (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:510:y:2018:i:c:p:281-289

DOI: 10.1016/j.physa.2018.06.122

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