Figure 8.

Dynamical robustness of the network relay synchronization as a function of the heterogeneity in the a_k parameter. Synchronization error between the outer layers E_−1,1 vs the inter-layer coupling λ for the three cases reported in the main text with $a_{\pm 1,i}=[0.20,0.21]$: i) mismatched layers with oscillators within the outer layers being identical but mismatched with their replicas (green squares); ii) symmetrical outer layers with nonidentical oscillators within the layers (full cyan circles); and iii) not symmetrical layers with nonidentical oscillators (purple diamonds). Inset is a zoom of the main plot. Simulations have been conducted with SF layers of identical topology with N = 500 and 〈k〉 = 8.