Hongler, M.-OFilliger, RBlanchard, Ph2009-12-292009-12-292009-12-29201010.1209/0295-5075/89/10001https://infoscience.epfl.ch/handle/20.500.14299/45023WOS:000273855100002We 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.Kuramoto-Sakaguchi dynamics - von Mises angular statistics - hyperbplicangular ststistics - self-organizationtext::journal::journal article::research article