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.
VAN DEN BROECK, Christian 
KAWAI, Ryoichi 
Lindenberg, K.
Issue Date: 2006
Publisher: AMERICAN PHYSICAL SOC
Source: 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.
Keywords: IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; POPULATIONS; LATTICES;; FREQUENCIES; ONSET
Document URI: http://hdl.handle.net/1942/1570
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.74.031113
ISI #: 000240870100025
Category: A1
Type: Journal Contribution
Validations: ecoom 2007
Appears in Collections:Research publications

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