Fig. 2: Synchronization stability of networks with multiple interaction layers is virtually always mean-field.
From: Mean-field nature of synchronization stability in networks with multiple interaction layers
In networks with N nodes per layer, for normalized dynamical distances ℓ2,1/(N − 1) smaller than 0.1, the accuracy of the estimate of the maximum Lyapunov exponent \({{{\Lambda }}}_{\max }\) improves with system size. Also, the error in the estimate never increases beyond 0.3, even for very large dynamical distances. Each point is averaged over 1,000 realizations; when not drawn, error bars are smaller than the symbol size. Inset: our mean-field theory assesses synchronization stability always correctly, with possible occasional exceptions only occurring in very small systems.
