Regular Article

Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble^*

¹ Institute of Continuous Media Mechanics, UB RAS, 614013 Perm, Russia
² Department of Theoretical Physics, Perm State University, 614990 Perm, Russia
³ Institute for Physics and Astronomy, University of Potsdam, 14476 Potsdam-Golm, Germany
⁴ Department of Control Theory, Nizhny Novgorod State University, 606950 Nizhny Novgorod, Russia

^a e-mail: Denis.Goldobin@gmail.com
^b e-mail: Anastasiya.Pimenova@gmail.com
^c e-mail: mros@uni-potsdam.de
^d e-mail: pikovsky@uni-potsdam.de

Received: 4 February 2017
Revised: 8 March 2017
Published online: 21 June 2017

Abstract

We describe analytically synchronization and desynchronization effects in an ensemble of phase oscillators driven by common noise and by global coupling. Adopting the Ott-Antonsen ansatz, we reduce the dynamics to closed stochastic equations for the order parameters, and study these equations for the cases of populations of identical and nonidentical oscillators. For nonidentical oscillators we demonstrate a counterintuitive effect of divergence of individual frequencies for moderate repulsive coupling, while the order parameter remains large.