Volume 89, Number 1, January 2010
|Number of page(s)||4|
|Published online||01 December 2009|
Hyperbolic angular statistics for globally coupled phase oscillators
Ecole Polytechnique Fédérale EPFL - STI/IMT/LPM - Lausanne, Switzerland
2 Bern University of Applied Sciences - CH-2501 Biel, Switzerland
3 Fakultät für Physik and BiBos, Universität Bielefeld - Bielefeld, Germany, EU
Corresponding author: firstname.lastname@example.org
Accepted: 9 December 2009
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 02.50.Ey – Stochastic processes
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.