vix.ing · top · new · best · stats · spec

Time delay in the Kuramoto model with bimodal frequency distribution

2006/06/15 by Ernest Montbrio, Diego Pazo, Juergen Schmidt
Physics and Astronomy · #nlin.AO

paper · pdf · doi:10.1103/physreve.74.056201

published as Physical Review E 74, 056201 (2006) · 5 pages, 4 figures

arxiv created 2006/06/15 · arxiv updated 2009/12/01

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.

Cited by