title: Interplay of coupling and common noise at the transition to synchrony in oscillator populations.
abstract: There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators, we obtain analytically tractable equations for the case where both coupling and common noise are present. While noise always tends to synchronize the phase oscillators, the repulsive coupling can act against synchrony, and we focus on this nontrivial situation. For identical oscillators, the fully synchronous state remains stable for small repulsive coupling; moreover it is an absorbing state which always wins over the asynchronous regime. For oscillators with a distribution of natural frequencies, we report on a counter-intuitive effect of dispersion (instead of usual convergence) of the oscillators frequencies at synchrony; the latter effect disappears if noise vanishes.
authors.affiliation: Institute of Continuous Media Mechanics, UB RAS, Perm 614013, Russia.
authors.forename: Anastasiya V
authors.initials: AV
authors.lastname: Pimenova
authors.affiliation: Institute of Continuous Media Mechanics, UB RAS, Perm 614013, Russia.|Department of Theoretical Physics, Perm State University, Perm 614990, Russia.
authors.forename: Denis S
authors.initials: DS
authors.lastname: Goldobin
authors.affiliation: Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Rosenblum
authors.affiliation: Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.|Department of Control Theory, Nizhny Novgorod State University, Gagarin Av. 23, 606950, Nizhny Novgorod, Russia.
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky