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Interplay of coupling and common noise at the transition to synchrony in oscillator populations
- 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.
Author details: | Anastasiya V. Pimenova, Denis S. GoldobinGND, Michael RosenblumORCiDGND, Arkadij PikovskijORCiDGND |
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URN: | urn:nbn:de:kobv:517-opus4-103471 |
Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (310) |
Publication type: | Postprint |
Language: | English |
Date of first publication: | 2016/12/06 |
Publication year: | 2016 |
Publishing institution: | Universität Potsdam |
Release date: | 2017/02/16 |
Number of pages: | 7 |
Source: | Scientific Reports (2016) Nr. 6:38518. - DOI: 10.1038/srep38518 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften |
5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik | |
Peer review: | Referiert |
Publishing method: | Open Access |
License (German): | CC-BY - Namensnennung 4.0 International |