Figure 1. The propagation of the overload failures in the network.

We demonstrate step 1, 3, 5 and 7 of the cascading failures on a 200 × 200 lattice with periodic boundary conditions and a Gaussian distribution of weights. The disorder is σ=0.01, the initial attack size (in red) is 6 × 6 and the tolerance of system is set to α=0.5. In each figure, the deep blue dots stands for the overloaded nodes in the current step, while the black ones are the nodes failed in the previous steps. The cyan dots are the functional nodes that did not fail. (a) t=1, (b) t=3, (c) t=5 and (d) t=7.