Effects of disorder on synchronization of discrete phase-coupled oscillators

Academic Article

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 further characterization of the synchronized arrays. © 2007 The American Physical Society.
  • Authors

    Published In

  • Physical Review E  Journal
  • Digital Object Identifier (doi)

    Author List

  • Wood K; Van Den Broeck C; Kawai R; Lindenberg K
  • Volume

  • 75
  • Issue

  • 4