Time delay in the Kuramoto model with bimodal frequency distribution
- 2 November 2006
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 74 (5) , 056201
- https://doi.org/10.1103/physreve.74.056201
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.Keywords
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