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Selection: Havlin:S [4 articles] 

Publications by author Havlin:S.
 

Resilience of networks with community structure behaves as if under an external field

  
Proceedings of the National Academy of Sciences, Vol. 115, No. 27. (03 July 2018), pp. 6911-6915, https://doi.org/10.1073/pnas.1801588115

Abstract

[Significance] Much work has focused on phase transitions in complex networks in which the system transitions from a resilient to a failed state. Furthermore, many of these networks have a community structure, whose effects on resilience have not yet been fully understood. Here, we show that the community structure can significantly affect the resilience of the system in that it removes the phase transition present in a single module, and the network remains resilient at this transition. In particular, we show that ...

 

Detecting long-range correlations with detrended fluctuation analysis

  
Physica A: Statistical Mechanics and its Applications, Vol. 295, No. 3-4. (June 2001), pp. 441-454, https://doi.org/10.1016/s0378-4371(01)00144-3

Abstract

We examine the detrended fluctuation analysis (DFA), which is a well-established method for the detection of long-range correlations in time series. We show that deviations from scaling which appear at small time scales become stronger in higher orders of DFA, and suggest a modified DFA method to remove them. The improvement is necessary especially for short records that are affected by non-stationarities. Furthermore, we describe how crossovers in the correlation behavior can be detected reliably and determined quantitatively and show how ...

 

The extreme vulnerability of interdependent spatially embedded networks

  
Nat Phys, Vol. 9, No. 10. (25 October 2013), pp. 667-672, https://doi.org/10.1038/nphys2727

Abstract

Recent studies show that in interdependent networks a very small failure in one network may lead to catastrophic consequences. Above a critical fraction of interdependent nodes, even a single node failure can invoke cascading failures that may abruptly fragment the system, whereas below this critical dependency a failure of a few nodes leads only to a small amount of damage to the system. So far, research has focused on interdependent random networks without space limitations. However, many real systems, such as ...

 

Catastrophic cascade of failures in interdependent networks

  
Nature, Vol. 464, No. 7291. (15 April 2010), pp. 1025-1028, https://doi.org/10.1038/nature08932

Abstract

Complex networks have been studied intensively for a decade, but research still focuses on the limited case of a single, non-interacting network. Modern systems are coupled together and therefore should be modelled as interdependent networks. A fundamental property of interdependent networks is that failure of nodes in one network may lead to failure of dependent nodes in other networks. This may happen recursively and can lead to a cascade of failures. In fact, a failure of a very small fraction of ...

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