This article has an erratum: [erratum]
Volume 58, Number 1, April 2002
|Page(s)||21 - 27|
|Published online||01 August 2002|
Dynamics of order parameters for globally coupled oscillators
Department of Physics, Bld. 309,
Technical University of Denmark
DK-2800 Lyngby, Denmark
2 Institute for Mathematics, University of Vienna Strudlhofgasse 4, A-1090 Vienna, Austria
Accepted: 11 January 2002
The equation of motion for the centroid of globally coupled oscillators with natural frequency mismatch is obtained through a series expansion in order parameters, valid for any population size. In the case of strong coupling and narrow-frequency distribution the first-order expansion (corresponding to a system where the centroid is coupled to a second macroscopic variable), predicts transient and asymptotic properties of the dynamics of the centroid. Phase transitions appear as macroscopic bifurcations. Collective properties arising in the transient, and particularly critical perturbations, suggest a method of experimental relevance for identifying the parameters of the population.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2002
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