Predicting the Lifetime of Dynamic Networks Experiencing Persistent Random Attacks

Podobnik, Boris and Lipić, Tomislav and Horvatić, Davor and Majdandžić, Antonio and Bishop, Steven R. and Stanley, H. Eugene (2015) Predicting the Lifetime of Dynamic Networks Experiencing Persistent Random Attacks. Scientific Reports, 5. pp. 14286-15. ISSN 2045-2322

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Abstract

Estimating the critical points at which complex systems abruptly flip from one state to another is one of the remaining challenges in network science. Due to lack of knowledge about the underlying stochastic processes controlling critical transitions, it is widely considered difficult to determine the location of critical points for real-world networks, and it is even more difficult to predict the time at which these potentially catastrophic failures occur. We analyse a class of decaying dynamic networks experiencing persistent failures in which the magnitude of the overall failure is quantified by the probability that a potentially permanent internal failure will occur. When the fraction of active neighbours is reduced to a critical threshold, cascading failures can trigger a total network failure. For this class of network we find that the time to network failure, which is equivalent to network lifetime, is inversely dependent upon the magnitude of the failure and logarithmically dependent on the threshold. We analyse how permanent failures affect network robustness using network lifetime as a measure. These findings provide new methodological insight into system dynamics and, in particular, of the dynamic processes of networks. We illustrate the network model by selected examples from biology, and social science.

Item Type: Article
Keywords: complex networks, phase transitions, critical phenomena
Date: 21 September 2015
Subjects: NATURAL SCIENCES > Mathematics
NATURAL SCIENCES > Physics
TECHNICAL SCIENCES > Computing
Additional Information: Received: 10 February 2015; Accepted: 11 August 2015; Published online: 21 September 2015.
Divisions: Faculty of Science > Department of Physics
Publisher: Nature Publishing Group
Depositing User: Davor Horvatić
Date Deposited: 04 May 2016 10:13
Last Modified: 04 May 2016 10:13
URI: http://digre.pmf.unizg.hr/id/eprint/4801

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