Fig. 2: Extreme features of the synchronization transition.
a The gap 1−r of the order parameter r to its maxmimal value 1 for fixed ∣K∣ = 1.5. Direct numerical observations (open circles) agree well with our approximate, second-order prediction (8) asymptotically as β = π/2 − α → 0+ (red line) and even for the full range of α ∈ (0, π/2) (inset). b With increasing α, the critical coupling strength decreases and the jumps in order parameter r (color-coded r ∈ [0.8, 1]) become increasingly extreme. The white area indicates an incoherent state with r of the order of N−1/2. The black solid curve indicates the critical coupling ∣Kc∣. In (a) and (b), N = 80 across all observations.
