Time delay in the Kuramoto model with bimodal frequency distribution

Details Time delay in the Kuramoto model with bimodal frequency distribution Time delay in the Kuramoto model with bimodal frequency distribution

2006-06-15

arxiv.org/abs/nlin/0606045v1

Physical Review E 74, 056201 (2006)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

5 pages, 4 figures

Scientific paper

10.1103/PhysRevE.74.056201

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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