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• W1995449327 abstract "In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in a form of an abrupt first order transition. When the fraction of initial failed nodes $1-p$ reaches criticality, $p=p_c$, the abrupt collapse occurs by spontaneous cascading failures. At this stage, the giant component decreases slowly in a plateau form and the number of iterations in the cascade, $tau$, diverges. The origin of this plateau and its increasing with the size of the system remained unclear. Here we find that simultaneously with the abrupt first order transition a spontaneous second order percolation occurs during the cascade of iterative failures. This sheds light on the origin of the plateau and on how its length scales with the size of the system. Understanding the critical nature of the dynamical process of cascading failures may be useful for designing strategies for preventing and mitigating catastrophic collapses." @default.
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• W1995449327 date "2012-11-10" @default.
• W1995449327 modified "2023-09-26" @default.
• W1995449327 title "Simultaneous first and second order percolation transitions in interdependent networks" @default.
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• W1995449327 doi "https://doi.org/10.48550/arxiv.1211.2330" @default.
• W1995449327 hasPublicationYear "2012" @default.
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