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Cascades in small-world modular networks with CML’s method. (English) Zbl 1144.82319

Summary: This paper presents a possible and reasonable explanation of cascading failure in small-world modular networks. We aim to introduce the CML’s method to interpret the mechanism of cascading failure in small-world modular networks with different rewiring probability of inner-module and inter-module. The cascade propagation of such networks with the different initial external perturbation is simulated. Additionally, it is found that the perturbation threshold has close relationships with the modularity, the mean node degree and the rewiring probability. Based on the numerical simulation, we can see that the larger mean node degree can delay the cascading failure process. Furthermore, the small value of rewiring probability and larger modularity can efficiently delay the breakdown caused by the cascading failure. It is particularly important for controlling the cascading failure process in small-world modular networks.

MSC:

82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
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