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 som...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 λ 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 λ. 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.展开更多
In this paper, cascading failure is studied by coupled map lattice （CML） methods in preferential attachment community networks. It is found that external perturbation R is increasing with modularity Q growing by sim...In this paper, cascading failure is studied by coupled map lattice （CML） methods in preferential attachment community networks. It is found that external perturbation R is increasing with modularity Q growing by simulation. In particular, the large modularity Q can hold off the cascading failure dynamic process in community networks. Furthermore, different attack strategies also greatly affect the cascading failure dynamic process. It is particularly significant to control cascading failure process in real community networks.展开更多
Cascading failure is an important part of the dynamics in complex network.In this paper,we research the cascading failure of Farey network which is scale-free network with fractal properties by data analysis.According...Cascading failure is an important part of the dynamics in complex network.In this paper,we research the cascading failure of Farey network which is scale-free network with fractal properties by data analysis.According to the analyses,we obtain an iterative expression of the failure nodes’number at the certain time step,anther iterative expression of the time which is needed for the network being global collapse,and the sequence of nodes failure in the Farey network.By theoretical derivation,we get an approximate solutions of perturbation threshold R to make the network achieve the global collapse.If the nodes number of the Farey network is lager,simulate results are closer to theoretical value.By the simulation,we obtain the cascading failure process of the Farey network after suffering deliberate attack and random attack.Simulation results show that,the failure nodes of Farey network increase gradually as R raises,until the network is global collapse.Moreover,Farey network shows stronger robustness for random attack.abstract environment.展开更多
基金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)the National Natural Science Foundation of China (Grant No70631001)
文摘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 λ 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 λ. 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.
基金supported by National Basic Research Program of China (Grant No 2006CB705500)Changjiang Scholars and Innovative Research Team in University (Grant No IRT0605)the National Natural Science Foundation of China (Grant No 70631001)
文摘In this paper, cascading failure is studied by coupled map lattice （CML） methods in preferential attachment community networks. It is found that external perturbation R is increasing with modularity Q growing by simulation. In particular, the large modularity Q can hold off the cascading failure dynamic process in community networks. Furthermore, different attack strategies also greatly affect the cascading failure dynamic process. It is particularly significant to control cascading failure process in real community networks.
文摘Cascading failure is an important part of the dynamics in complex network.In this paper,we research the cascading failure of Farey network which is scale-free network with fractal properties by data analysis.According to the analyses,we obtain an iterative expression of the failure nodes’number at the certain time step,anther iterative expression of the time which is needed for the network being global collapse,and the sequence of nodes failure in the Farey network.By theoretical derivation,we get an approximate solutions of perturbation threshold R to make the network achieve the global collapse.If the nodes number of the Farey network is lager,simulate results are closer to theoretical value.By the simulation,we obtain the cascading failure process of the Farey network after suffering deliberate attack and random attack.Simulation results show that,the failure nodes of Farey network increase gradually as R raises,until the network is global collapse.Moreover,Farey network shows stronger robustness for random attack.abstract environment.
