Time delay in the Kuramoto model with bimodal frequency distribution
Adaptation and Self-Organizing Systems
2009-11-11 v1
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.
Cite
@article{arxiv.nlin/0606045,
title = {Time delay in the Kuramoto model with bimodal frequency distribution},
author = {Ernest Montbrio and Diego Pazo and Juergen Schmidt},
journal= {arXiv preprint arXiv:nlin/0606045},
year = {2009}
}
Comments
5 pages, 4 figures