Cascading failures in coupled networks with both inner-dependency and inter-dependency links

We study the percolation in coupled networks with both inner-dependency and inter-dependency links, where the inner- and inter-dependency links represent the dependencies between nodes in the same or different networks, respectively. We find that when most of dependency links are inner- or inter-one...

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Bibliographic Details
Published in:Scientific reports 2016-05, Vol.6 (1), p.25294-25294, Article 25294
Main Authors: Liu, Run-Ran, Li, Ming, Jia, Chun-Xiao, Wang, Bing-Hong
Format: Article
Language:English
Subjects:
639/766/530/2801
639/766/530/2804
Connectivity
Failure
Humanities and Social Sciences
multidisciplinary
Nodes
Percolation
Phase transitions
Science
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Summary:We study the percolation in coupled networks with both inner-dependency and inter-dependency links, where the inner- and inter-dependency links represent the dependencies between nodes in the same or different networks, respectively. We find that when most of dependency links are inner- or inter-ones, the coupled networks system is fragile and makes a discontinuous percolation transition. However, when the numbers of two types of dependency links are close to each other, the system is robust and makes a continuous percolation transition. This indicates that the high density of dependency links could not always lead to a discontinuous percolation transition as the previous studies. More interestingly, although the robustness of the system can be optimized by adjusting the ratio of the two types of dependency links, there exists a critical average degree of the networks for coupled random networks, below which the crossover of the two types of percolation transitions disappears, and the system will always demonstrate a discontinuous percolation transition. We also develop an approach to analyze this model, which is agreement with the simulation results well.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep25294