Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/7809
Title: Continuous and discontinuous phase transitions and partial synchronization in stochastic three-state oscillators
Authors: Wood, Kevin
VAN DEN BROECK, Christian 
Kawai, R.
Lindenberg, K.
Issue Date: 2007
Publisher: AMER PHYSICAL SOC
Source: PHYSICAL REVIEW E, 76(4)
Abstract: We investigate both continuous (second-order) and discontinuous (first-order) transitions to macroscopic synchronization within a single class of discrete, stochastic (globally) phase-coupled oscillators. We provide analytical and numerical evidence that the continuity of the transition depends on the coupling coefficients and, in some nonuniform populations, on the degree of quenched disorder. Hence, in a relatively simple setting this class of models exhibits the qualitative behaviors characteristic of a variety of considerably more complicated models. In addition, we study the microscopic basis of synchronization above threshold and detail the counterintuitive subtleties relating measurements of time-averaged frequencies and mean-field oscillations. Most notably, we observe a state of suprathreshold partial synchronization in which time-averaged frequency measurements from individual oscillators do not correspond to the frequency of macroscopic oscillations observed in the population.
Notes: Univ Calif San Diego, Inst Nonlinear Sci, Dept Chem & Biochem, 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, Inst Nonlinear Sci, Dept Chem & Biochem, 9500 Gilman Dr, La Jolla, CA 92093 USA.
Document URI: http://hdl.handle.net/1942/7809
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.76.041132
ISI #: 000250621900042
Category: A1
Type: Journal Contribution
Validations: ecoom 2009
Appears in Collections:Research publications

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