Figure 1
From: Growth, collapse and self-organized criticality in complex networks
Evolution of a network of coupled chaotic logistic maps subject to synchronization constraint.
The transient period for network to be synchronized is Tg = 300 and the tolerance threshold for desynchronization at the nodal level is δrc = 10−10. (a) Variation of the network size, n, with the time step of node addition, ng. The (red) filled circles are the results for Tg = 300 and δrc = 10−10 and the (blue) open squares are for Tg = 300 and δrc = 10−9. (b) Time evolution of the network averaged synchronization error, 〈δr〉. Inset: the corresponding semi-logarithmic plot. (c) Time evolution of the synchronization error, δri, for three typical nodes in the network. (d–f) Snapshots of the nodal synchronization errors, δri, for three different time instants: (d) t = 123Tg + 1, (e) t = 123Tg + 5 and (f) t = 124Tg. Nodes with δr > δrc are represented by filled circles.
