Effects of Disorder on Synchronization of Discrete Phase-Coupled Oscillators
Abstract
We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of globally connected arrays of N types of oscillators (N=2, 3, 4) by exploring the linear stability of the nonsynchronous fixed point. We also provide results for globally coupled arrays where the transition rate of each unit is drawn from a uniform distribution of finite width. Even in the presence of transition rate disorder, numerical and analytical results point to a single phase transition to macroscopic synchrony at a critical value of the coupling strength. Numerical simulations make possible the further characterization of the synchronized arrays.
Cite
@article{arxiv.cond-mat/0611757,
title = {Effects of Disorder on Synchronization of Discrete Phase-Coupled Oscillators},
author = {Kevin Wood and C. Van den Broeck and R. Kawai and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/0611757},
year = {2015}
}