TY  - GEN
A1  - Pimenova, Anastasiya V.
A1  - Goldobin, Denis S.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
T1  - Interplay of coupling and common noise at the transition to synchrony in oscillator populations
N2  - 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.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 310 
Y1  - 2016
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-103471
ER  - 
TY  - JOUR
A1  - Pimenova, Anastasiya V.
A1  - Goldobin, Denis S.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
T1  - Interplay of coupling and common noise at the transition to synchrony in oscillator populations
JF  - Scientific reports
N2  - 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.
Y1  - 2016
U6  - https://doi.org/10.1038/srep38518
SN  - 2045-2322
VL  - 6
PB  - Nature Publ. Group
CY  - London
ER  -