Synchronization between Two Discrete-Time Networks with Mutual Couplings

Figure 5

The plots show 𝐸_𝑥,𝐸_𝑦, and 𝐸_outer at 𝑡=400 on 𝑁 with 𝑎₁=0.3,𝑏₁=0.2,𝑎₂=0.5, and 𝑏₂=0.3 and 𝑚_𝑥=0.2 and 𝑚_𝑦=0.3. The topologies are 𝑎_𝑖𝑗=𝑏_𝑖𝑗=1/𝑁,𝑖,𝑗=1,…,𝑁. Obviously the inner synchronization inside network 𝑌 and outer synchronization do not happen for the network size 𝑁<40 except some values of 𝑁.