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

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  • Ma, Xiujuan
  • Ma, Fuxiang
  • Yin, Jun
  • Zhao, Haixing

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.

Suggested Citation

  • Ma, Xiujuan & Ma, Fuxiang & Yin, Jun & Zhao, Haixing, 2018. "Cascading failures of k uniform hyper-network based on the hyper adjacent matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 281-289.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:281-289
    DOI: 10.1016/j.physa.2018.06.122
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    References listed on IDEAS

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