Universality of synchrony: Critical behavior in a discrete model of stochastic phase-coupled oscillators

Academic Article

Abstract

  • We present the simplest discrete model to date that leads to synchronization of stochastic phase-coupled oscillators. In the mean field limit, the model exhibits a Hopf bifurcation and global oscillatory behavior as coupling crosses a critical value. When coupling between units is strictly local, the model undergoes a continuous phase transition which we characterize numerically using finite-size scaling analysis. In particular, the onset of global synchrony is marked by signatures of the XY universality class, including the appropriate classical exponents β and ν, a lower critical dimension dlc=2, and an upper critical dimension duc=4. © 2006 The American Physical Society.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

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

  • 96
  • Issue

  • 14