Localized attacks on spatially embedded networks with dependencies.
Bottom Line:
We develop a theoretical and numerical approach to describe and predict the effects of localized attacks on spatially embedded systems with dependencies.Though robust to random failures-even of finite fraction-if subjected to a localized attack larger than a critical size which is independent of the system size (i.e., a zero fraction), a cascading failure emerges which leads to complete system collapse.Our results demonstrate the potential high risk of localized attacks on spatially embedded network systems with dependencies and may be useful for designing more resilient systems.
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PubMed Central - PubMed
Affiliation: Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
ABSTRACT
Many real world complex systems such as critical infrastructure networks are embedded in space and their components may depend on one another to function. They are also susceptible to geographically localized damage caused by malicious attacks or natural disasters. Here, we study a general model of spatially embedded networks with dependencies under localized attacks. We develop a theoretical and numerical approach to describe and predict the effects of localized attacks on spatially embedded systems with dependencies. Surprisingly, we find that a localized attack can cause substantially more damage than an equivalent random attack. Furthermore, we find that for a broad range of parameters, systems which appear stable are in fact metastable. Though robust to random failures-even of finite fraction-if subjected to a localized attack larger than a critical size which is independent of the system size (i.e., a zero fraction), a cascading failure emerges which leads to complete system collapse. Our results demonstrate the potential high risk of localized attacks on spatially embedded network systems with dependencies and may be useful for designing more resilient systems. No MeSH data available. Related in: MedlinePlus |
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Mentions: Even though different infrastructure systems have their own specific function and dynamics, they share a 2D spatial embedding that implies a fundamental restriction on their structure due the length limitation of connectivity and dependency links. Therefore we study here the general vulnerability of spatially embedded systems under localized attacks. We find here that localized attacks on spatially embedded systems with dependencies are significantly more damaging than random failures (see Fig. 1a), in marked contrast to single networks. |
View Article: PubMed Central - PubMed
Affiliation: Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
No MeSH data available.