2018
DOI: 10.1103/physreve.97.052309
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Network overload due to massive attacks

Abstract: We study the cascading failure of networks due to overload, using the betweenness centrality of a node as the measure of its load following the Motter and Lai model. We study the fraction of survived nodes at the end of the cascade p_{f} as a function of the strength of the initial attack, measured by the fraction of nodes p that survive the initial attack for different values of tolerance α in random regular and Erdös-Renyi graphs. We find the existence of a first-order phase-transition line p_{t}(α) on a p-α… Show more

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Cited by 26 publications
(22 citation statements)
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References 30 publications
(26 reference statements)
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“…However, the sizes of blackouts are much smaller in the USWI with a realistic design than in an artificial DADA model with a different spatial organization. In particular, we study the dependence of the blackout size and the dynamics of the cascading failures on a set of three parameters that characterize the robustness of the grid: (1) tolerance α, the ratio of the maximum flow a line can carry to its initial load (Kornbluth et al, 2018;Motter & Lai, 2002;Motter, 2004); (2) the minimum flow I p which any line in the network can carry independent of its initial load; and (3) the amount of flow in the initial failed line compared to the distribution of the flows in the grid (I u ). We characterize I p and I u by dimensionless parameters p (called the level of protection) and u (called the significance of initial failure).…”
Section: Introductionmentioning
confidence: 99%
“…However, the sizes of blackouts are much smaller in the USWI with a realistic design than in an artificial DADA model with a different spatial organization. In particular, we study the dependence of the blackout size and the dynamics of the cascading failures on a set of three parameters that characterize the robustness of the grid: (1) tolerance α, the ratio of the maximum flow a line can carry to its initial load (Kornbluth et al, 2018;Motter & Lai, 2002;Motter, 2004); (2) the minimum flow I p which any line in the network can carry independent of its initial load; and (3) the amount of flow in the initial failed line compared to the distribution of the flows in the grid (I u ). We characterize I p and I u by dimensionless parameters p (called the level of protection) and u (called the significance of initial failure).…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the model of Ref. [89] has been explored for a case when a macroscopic fraction 1 − p of nodes fails at the initial condition [67], as opposed to one node in the original model [89]. In this case, the order parameter can be taken either as the fraction of survived nodes, or as the fraction of nodes in the giant component (GC).…”
Section: Cascade Of Failures In Single Complex Networkmentioning
confidence: 99%
“…If we think of infrastructures such as power grids, road networks or the Internet, it is reasonable to conceive heavy loaded nodes as the most prone to failure, so RB-like damages are possible not only as a targeted attack but as a failure. Other authors have studied the vulnerability of these systems in terms of cascading failures using as a proxy for the loads the betweenness of the nodes [12,22]. From a novel perspective, our work adds more evidence to point out that many systems-in which our modern life relies on-may seem robust but hinder critical vulnerabilities.…”
Section: Discussionmentioning
confidence: 89%