Hyperbolic angular statistics for globally coupled phase oscillators

Hongler M-O, Filliger R, Blanchard P (2010)
EPL 89(1): 10001.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Hongler, M. -O.; Filliger, R.; Blanchard, PhilippeUniBi
Abstract / Bemerkung
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. Copyright (C) EPLA, 2010
Erscheinungsjahr
2010
Zeitschriftentitel
EPL
Band
89
Ausgabe
1
Art.-Nr.
10001
ISSN
0295-5075
eISSN
1286-4854
Page URI
https://pub.uni-bielefeld.de/record/1588856

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Hongler M-O, Filliger R, Blanchard P. Hyperbolic angular statistics for globally coupled phase oscillators. EPL. 2010;89(1): 10001.
Hongler, M. - O., Filliger, R., & Blanchard, P. (2010). Hyperbolic angular statistics for globally coupled phase oscillators. EPL, 89(1), 10001. doi:10.1209/0295-5075/89/10001
Hongler, M. - O., Filliger, R., and Blanchard, P. (2010). Hyperbolic angular statistics for globally coupled phase oscillators. EPL 89:10001.
Hongler, M.-O., Filliger, R., & Blanchard, P., 2010. Hyperbolic angular statistics for globally coupled phase oscillators. EPL, 89(1): 10001.
M.-O. Hongler, R. Filliger, and P. Blanchard, “Hyperbolic angular statistics for globally coupled phase oscillators”, EPL, vol. 89, 2010, : 10001.
Hongler, M.-O., Filliger, R., Blanchard, P.: Hyperbolic angular statistics for globally coupled phase oscillators. EPL. 89, : 10001 (2010).
Hongler, M. -O., Filliger, R., and Blanchard, Philippe. “Hyperbolic angular statistics for globally coupled phase oscillators”. EPL 89.1 (2010): 10001.

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