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Title: | Universality of synchrony: Critical behavior in a discrete model of stochastic phase-coupled oscillators | Authors: | Wood, K. VAN DEN BROECK, Christian KAWAI, Ryoichi 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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universality.pdf | Non Peer-reviewed author version | 363.75 kB | Adobe PDF | View/Open |
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