Phase Synchronization and Polarization Ordering of Globally-Coupled Oscillators
Optics
2009-11-10 v2
Abstract
We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions: to phase synchronization and to polarization ordering. Introducing a global-phase and a polarization order parameters, we show that the transition to global-phase synchrony is found when the coupling overcomes a critical value and that polarization order enhancement can not take place before global-phase synchrony. We develop a self-consistent theory to determine both order parameters in good agreement with numerical results.
Cite
@article{arxiv.physics/0403038,
title = {Phase Synchronization and Polarization Ordering of Globally-Coupled Oscillators},
author = {Alessandro Scire and Pere Colet and Maxi San Miguel},
journal= {arXiv preprint arXiv:physics/0403038},
year = {2009}
}