Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling

Figure 2

When N is odd, the synchronizability of Network I changes with the intralayer coupling strength from the leaf nodes to the hub nodes. (a) changes with ( changes from 0.01 to 1) (subgraph: changes with ( changes from 0.2 to 1)); (b) R changes with ( changes from 0.01 to 1) (subgraph: R changes with ( changes from 0.2 to 1)).

(a)

(b)