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Cascading failures on interdependent networks with star dependent links

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  • Zhang, Tianqiao
  • Zhang, Yang
  • Zhu, Xuzhen
  • Chen, Junliang

Abstract

In this paper, we propose a cascading failure model with star interdependent links. To describe the model theoretically, a generalized percolation theory is developed. Through extensive numerical simulations and theoretical analyses, we study the phase transition of the system on artificial networks. On both ER-ER and SF-SF networks, the system exhibits a continuous (discontinuous) phase transition for small (large) fraction of service nodes. On ER-ER networks, the more service links of a service node, the system is more likely to exhibit a discontinuous phase transition. On SF-SF networks, the service links of a service node cannot alter the phase of the system. Our suggested theory agrees well with the numerical simulations.

Suggested Citation

  • Zhang, Tianqiao & Zhang, Yang & Zhu, Xuzhen & Chen, Junliang, 2019. "Cascading failures on interdependent networks with star dependent links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119312889
    DOI: 10.1016/j.physa.2019.122222
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    Cited by:

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    2. Yang, Qihui & Scoglio, Caterina M. & Gruenbacher, Don M., 2021. "Robustness of supply chain networks against underload cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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