Abstract This paper studies the cascading failure on random networks and scale-free networks by introducing the tolerance parameter of edge based on the coupled map lattices methods. The whole work focuses on investigating some indices including the number of failed edges, dynamic edge tolerance capacity and the perturbation of edge. In general, it assumes that the perturbation is attributed to the normal distribution in adopted simulations. By investigating the effectiveness of edge tolerance in scale-free and random networks, it finds that the larger tolerance parameter $\lambda$ can more efficiently delay the cascading failure process for scale-free networks than random networks. These results indicate that the cascading failure process can be effectively controlled by increasing the tolerance parameter $\lambda$. Moreover, the simulations also show that, larger variance of perturbation can easily trigger the cascading failures than the smaller one. This study may be useful for evaluating efficiency of whole traffic systems, and for alleviating cascading failure in such systems.
Received: 22 May 2008
Revised: 01 September 2008
Accepted manuscript online:
Fund: Project
supported by National Basic Research Program of China (Grant No
2006CB705500), Chang-Jiang Scholars and Innovative Research Team in
University of China (Grant No IRT0605), and the National Natural
Science Foundation of China (Grant No 70631001).
Cite this article:
Cui Di(崔迪), Gao Zi-You(高自友), and Zheng Jian-Feng(郑建风) Tolerance of edge cascades with coupled map lattices methods 2009 Chin. Phys. B 18 992
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