Kuramoto model
= Kuramoto model
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The Kuramoto model couples phase oscillators by sine differences. With all-to-all coupling, $\dot\theta_i=\omega_i+Kr\sin(\psi-\theta_i)$, where $re^{i\psi}$ is the <Kuramoto order parameter>. Natural-frequency diversity competes with coupling-induced phase coherence. In the symmetric stationary continuum branch, oscillators with $|\omega|\leq Kr$ lock to the mean phase and the remainder drift.