Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/4125
Title: Effects of disorder on synchronization of discrete phase-coupled oscillators
Authors: Wood, Kevin
VAN DEN BROECK, Christian 
KAWAI, Ryoichi 
Lindenberg, Katja
Issue Date: 2007
Publisher: AMERICAN PHYSICAL SOC
Source: PHYSICAL REVIEW E, 75(4)
Abstract: We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of globally connected arrays of N types of oscillators (N=2,3,4) by exploring the linear stability of the nonsynchronous fixed point. We also provide results for globally coupled arrays where the transition rate of each unit is drawn from a uniform distribution of finite width. Even in the presence of transition rate disorder, numerical and analytical results point to a single phase transition to macroscopic synchrony at a critical value of the coupling strength. Numerical simulations make possible further characterization of the synchronized arrays.
Notes: Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA. Univ Calif San Diego, Inst Nonlinear Sci, La Jolla, CA 92093 USA. Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA. Hasselt Univ, B-3590 Diepenbeek, Belgium. Univ Alabama, Dept Phys, Birmingham, AL 35294 USA.Wood, K, Univ Calif San Diego, Dept Chem & Biochem, 9500 Gilman Dr, La Jolla, CA 92093 USA.
Document URI: http://hdl.handle.net/1942/4125
Link to publication/dataset: http://arxiv.org/abs/cond-mat/0611757
ISSN: 1539-3755
ISI #: 000246073900023
Category: A1
Type: Journal Contribution
Validations: ecoom 2008
Appears in Collections:Research publications

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