Higher-order interactions in Kuramoto oscillator networks produce non-monotonic effects on first synchronization time, with triadic couplings accelerating and higher-order terms delaying convergence in some regimes.
(7), can be approximated as τ≈ Z uss u0 du −2u∆+ε 1u(1−u) ,(9) which is independent ofdand is identical to that ofε d =0
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On the role of higher-order interactions towards first synchronization time
Higher-order interactions in Kuramoto oscillator networks produce non-monotonic effects on first synchronization time, with triadic couplings accelerating and higher-order terms delaying convergence in some regimes.