Hyperbolic angular statistics for globally coupled oscillators

We analytically discuss a multiplicative noise generalization of the Kuramoto- Sakaguchi dynamics for an assembly of globally coupled phase oscillators. In the mean-field limit, the resulting class of invariant measures coincides with a generalized, two-parameter family of angular von Mises probability distributions which is governed by the exit law from the unit disc of a hyperbolic drifted Brownian motion. Our dynamics offers a simple yet analytically tractable generalization of Kuramoto-Sakaguchi dynamics with two control parameters. We derive an exact and very compact relation between the two control parameters at the onset of phase oscillators synchronization.


Published in:
Europhysics Letters (EPL), 89, 10001
Year:
2010
Keywords:
Laboratories:




 Record created 2009-12-29, last modified 2018-07-07


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