Dynamics of order parameters for a population of globally coupled oscillators

Details Dynamics of order parameters for a population of globally coupled oscillators Dynamics of order parameters for a population of globally coupled oscillators

2001-01-29

arxiv.org/abs/cond-mat/0101441v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures, LaTeX, submitted to PRL

Scientific paper

Using an expansion in order parameters, the equation of motion for the centroid of globally coupled oscillators with natural frequencies taken from a distribution is obtained for the case of high coupling, low dispersion of natural frequencies and any number of oscillators. To the first order, the system can be approximated by a set of four equations, where the centroid is coupled with a second macroscopic variable, which describes the dynamics of the oscillators around their average. This gives rise to collective effects that suggest experiments aimed at measuring the parameters of the population.

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