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Time delay in the Kuramoto model with bimodal frequency distribution

Ernest Montbrio·Diego Pazo·Juergen Schmidt
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Abstract

We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence.

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Ernest Montbrio, Diego Pazo, Juergen Schmidt. 2006-06-15. Time delay in the Kuramoto model with bimodal frequency distribution. https://doi.org/10.1103/physreve.74.056201

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