Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/1569
Title: Universality of synchrony: Critical behavior in a discrete model of stochastic phase-coupled oscillators
Authors: Wood, K.
VAN DEN BROECK, Christian 
Kawai, R.
Lindenberg, K.
Issue Date: 2006
Source: PHYSICAL REVIEW LETTERS, 96(14)
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 beta and nu, a lower critical dimension d(lc)=2, and an upper critical dimension d(uc)=4.
Keywords: POTTS-MODEL; IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; LATTICES;; POPULATIONS; FREQUENCIES; KURAMOTO
Document URI: http://hdl.handle.net/1942/1569
ISSN: 0031-9007
e-ISSN: 1079-7114
DOI: 10.1103/PhysRevLett.96.145701
ISI #: 000236797200044
Category: A1
Type: Journal Contribution
Validations: ecoom 2007
Appears in Collections:Research publications

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