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Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions

L. L. Bonilla·C. J. Perez Vicente·R. Spigler
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Abstract

The mean field Kuramoto model describing the synchronization of a population of phase oscillators with a bimodal frequency distribution is analyzed (by the method of multiple scales) near regions in its phase diagram corresponding to synchronization to phases with a time periodic order parameter. The richest behavior is found near the tricritical point were the incoherent, stationarily synchronized, ``traveling wave'' and ``standing wave'' phases coexist. The behavior near the tricritical point can be extrapolated to the rest of the phase diagram. Direct Brownian simulation of the model confirms our findings.

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L. L. Bonilla, C. J. Perez Vicente, R. Spigler. 1997-06-16. Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions. https://doi.org/10.1016/s0167-2789(97)00187-5

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