Hyperbolic angular statistics for globally coupled phase oscillators

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

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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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
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EPL
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89
Zeitschriftennummer
1
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10001
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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), p 10001.
M.-O. Hongler, R. Filliger, and P. Blanchard, “Hyperbolic angular statistics for globally coupled phase oscillators”, EPL, vol. 89, 2010, pp. 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.