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Cascading failures on interdependent networks with star dependent links

Tianqiao Zhang, Yang Zhang, Xuzhen Zhu and Junliang Chen

Physica A: Statistical Mechanics and its Applications, 2019, vol. 535, issue C

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.

Keywords: Interdependent networks; Percolation theory; Phase transition (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119312889

DOI: 10.1016/j.physa.2019.122222

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