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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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0611757v1.pdf | Non Peer-reviewed author version | 509.23 kB | Adobe PDF | View/Open |
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