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. 2015 Jun 4;5:10840. doi: 10.1038/srep10840

Figure 3. Multiplex diffusion-induced instability.

Figure 3

(a), Degree combination for pairs of nodes i(v) and i(u) is shown in plane k(v)-k(u) together with the curves of saddle-node (blue) and transcritical (red) bifurcations. Snapshots of the activator pattern for t = 50 (b), t = 63 (c), t = 70 (d) and the fully developed pattern for t = 500 (e) are shown for the Mimura-Murray model with σ(v) = σ(u) = 0.12 on a multiplex network with scale-free layers of N = 1,000 nodes and mean degrees Inline graphic and Inline graphic (see also Supplementary Movie S1). Nodes are ordered according to decreasing degrees k(u).