English

Synchronization in large directed networks of coupled phase oscillators

Statistical Mechanics 2009-11-11 v1 Disordered Systems and Neural Networks

Abstract

We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider extensions to networks with mixed positive/negative coupling strengths. We compare our theory with numerical simulations and find good agreement.

Keywords

Cite

@article{arxiv.cond-mat/0509255,
  title  = {Synchronization in large directed networks of coupled phase oscillators},
  author = {Juan G. Restrepo and Edward Ott and Brian R. Hunt},
  journal= {arXiv preprint arXiv:cond-mat/0509255},
  year   = {2009}
}