Closed-form critical coupling for the Kuramoto model with Lorentzian natural-frequency distribution. Kuramoto's self-consistency equation for the order parameter is r = Kr·∫_{-1}^{1} √(1−u²)·g(Kr·u + Ω)·du (locked oscillators only). …
Closed-form critical coupling for the Kuramoto model with Lorentzian natural-frequency distribution. Kuramoto's self-consistency equation for the order parameter is r = Kr·∫_{-1}^{1} √(1−u²)·g(Kr·u + Ω)·du (locked oscillators only). …