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Exact results for the Kuramoto model with a bimodal frequency distribution

Exact results for the Kuramoto model with a bimodal frequency distribution

We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standing interest. In 1984 Kuramoto proposed several conjectures about its behavior; ten years later, Crawford obtained the first analytical results by means of a …