The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators

Details The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators

2005-12-08

arxiv.org/abs/cond-mat/0512171v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.145701

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 $\beta$ and $\nu$, a lower critical dimension $d_{lc} = 2$, and an upper critical dimension $d_{uc}=4$.

Affiliated with

Also associated with

No associations

Rating

The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442818