Collective phase synchronization in locally-coupled limit-cycle oscillators
Statistical Mechanics
2009-11-10 v1
Abstract
We study collective behavior of locally-coupled limit-cycle oscillators with scattered intrinsic frequencies on -dimensional lattices. A linear analysis shows that the system should be always desynchronized up to . On the other hand, numerical investigation for and 6 reveals the emergence of the synchronized (ordered) phase via a continuous transition from the fully random desynchronized phase. This demonstrates that the lower critical dimension for the phase synchronization in this system is
Cite
@article{arxiv.cond-mat/0312599,
title = {Collective phase synchronization in locally-coupled limit-cycle oscillators},
author = {H. Hong and Hyunggyu Park and M. Y. Choi},
journal= {arXiv preprint arXiv:cond-mat/0312599},
year = {2009}
}