Time delay in the Kuramoto model with bimodal frequency distribution

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.

5 pages, 4 figures

References in corpus (1)

• Thermodynamic limit of the first-order phase transition in the Kuramoto model

Cited by in corpus (2)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Analysis of a power grid using the Kuramoto-like model