The effect of randomness for dependency map on the robustness of interdependent lattices.

Chaos
Jing YuanYixian Yang

Abstract

The percolation for interdependent networks with identical dependency map follows a second-order phase transition which is exactly the same with percolation on a single network, while percolation for random dependency follows a first-order phase transition. In real networks, the dependency relations between networks are neither identical nor completely random. Thus in this paper, we study the influence of randomness for dependency maps on the robustness of interdependent lattice networks. We introduce approximate entropy(ApEn) as the measure of randomness of the dependency maps. We find that there is critical ApEnc below which the percolation is continuous, but for larger ApEn, it is a first-order transition. With the increment of ApEn, the pc increases until ApEn reaching ApEnc (') and then remains almost constant. The time scale of the system shows rich properties as ApEn increases. Our results uncover that randomness is one of the important factors that lead to cascading failures of spatially interdependent networks.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Aug 10, 2000·Nature·R AlbertA L Barabasi
Nov 18, 2000·Physical Review Letters·R CohenS Havlin
Jan 3, 2001·Physical Review Letters·D S CallawayD J Watts
May 1, 2001·Physical Review Letters·R CohenS Havlin
Mar 15, 1991·Proceedings of the National Academy of Sciences of the United States of America·S M Pincus
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Reuven CohenShlomo Havlin
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei Vázquez, Yamir Moreno
Apr 16, 2010·Nature·Sergey V BuldyrevShlomo Havlin
Dec 31, 2010·Proceedings of the National Academy of Sciences of the United States of America·Roni ParshaniShlomo Havlin
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergey V BuldyrevGabriel A Cwilich
Mar 1, 2013·Scientific Reports·Alessio CardilloStefano Boccaletti
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Di ZhouShlomo Havlin
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Davide CellaiGinestra Bianconi
Mar 12, 2015·Scientific Reports·Yehiel BerezinShlomo Havlin
Nov 1, 2014·Physics Reports·S BoccalettiM Zanin

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Citations

Jan 3, 2020·Chaos·Jinyin ChenYi Liu
Mar 3, 2019·Chaos·Yangyang LiuH Eugene Stanley
Apr 9, 2020·Frontiers in Cell and Developmental Biology·Yaron Ilan
Nov 24, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Xiao-Yong WenGuoqiang Zhang

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