Figure 5. Development of non-uniform pattern.
The Mimura-Murray model with mobilities σ(v) = σ(u) = 0.12 on a multiplex network with scale-free layers of N = 1,000 nodes, and mean degrees and
. Small perturbations are added to the uniform steady state and nodes that satisfy condition (3) loose their stability and leave the uniform state. Snapshots of the activator pattern at time t = 11.5 (a), t = 13.5 (b), t = 15 (c), t = 16 (d), t = 18 (e) and t = 500 (f) are shown (see also Supplementary Movie S2). Nodes are ordered according to decreasing degrees k(u).