Podobnik, B;
Lipic, T;
Horvatic, D;
Majdandzic, A;
Bishop, SR;
Eugene Stanley, H;
(2015)
Predicting the lifetime of dynamic networks experiencing persistent random attacks.
Scientific Reports
, 5
, Article 14286. 10.1038/srep14286.
Text
Predicting the Lifetime of Dynamic Networks Experiencing Persistent Random Attacks.pdf Download (2MB) |
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.
Type: | Article |
---|---|
Title: | Predicting the lifetime of dynamic networks experiencing persistent random attacks |
Location: | England |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1038/srep14286 |
Publisher version: | http://dx.doi.org/10.1038/srep14286 |
Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1473520 |
1. | United States | 5 |
2. | China | 2 |
3. | United Kingdom | 2 |
4. | Russian Federation | 1 |
Archive Staff Only
View Item |