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 universality class, including the appropriate classical exponents and , a lower critical dimension , and an upper critical dimension .
- Received 7 December 2005
DOI:https://doi.org/10.1103/PhysRevLett.96.145701
©2006 American Physical Society