Document Server@UHasselt >
Research >
Research publications >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/1570

Title: Critical behavior and synchronization of discrete stochastic phase-coupled oscillators
Authors: Wood, K.
Kawai, R.
Lindenberg, K.
Issue Date: 2006
Citation: PHYSICAL REVIEW E, 74(3). p. 031113-...
Abstract: Synchronization of stochastic phase-coupled oscillators is known to occur but difficult to characterize because sufficiently complete analytic work is not yet within our reach, and thorough numerical description usually defies all resources. We present a discrete model that is sufficiently simple to be characterized in meaningful detail. In the mean-field limit, the model exhibits a supercritical 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 that we characterize numerically using finite-size scaling analysis. In particular, we explicitly rule out multistability and show that the onset of global synchrony is marked by signatures of the XY universality class. Our numerical results cover dimensions d=2, 3, 4, and 5 and lead to the appropriate XY classical exponents beta and nu, a lower critical dimension d(lc)=2, and an upper critical dimension d(uc)=4.
URI: http://hdl.handle.net/1942/1570
DOI: 10.1103/PhysRevE.74.031113
ISI #: 000240870100025
ISSN: 1539-3755
Category: A1
Type: Journal Contribution
Validation: ecoom, 2007
Appears in Collections: Research publications

Files in This Item:

Description SizeFormat
Preprint480.92 kBAdobe PDF

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.