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Pimenova AV, Goldobin DS, Rosenblum M, et al. Interplay of coupling and common noise at the transition to synchrony in oscillator populations. Sci Rep. 2016;6:38518doi: 10.1038/srep38518.
Pimenova, A. V., Goldobin, D. S., Rosenblum, M., & Pikovsky, A. (2016). Interplay of coupling and common noise at the transition to synchrony in oscillator populations. Scientific reports, 638518. https://doi.org/10.1038/srep38518
Pimenova, Anastasiya V, et al. "Interplay of coupling and common noise at the transition to synchrony in oscillator populations." Scientific reports vol. 6 (2016): 38518. doi: https://doi.org/10.1038/srep38518
Pimenova AV, Goldobin DS, Rosenblum M, Pikovsky A. Interplay of coupling and common noise at the transition to synchrony in oscillator populations. Sci Rep. 2016 Dec 06;6:38518. doi: 10.1038/srep38518. PMID: 27922105; PMCID: PMC5138633.
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Sci Rep. 2016 Dec 06;6:38518. doi: 10.1038/srep38518.

Interplay of coupling and common noise at the transition to synchrony in oscillator populations.

Scientific reports

Anastasiya V Pimenova, Denis S Goldobin, Michael Rosenblum, Arkady Pikovsky

Affiliations

  1. Institute of Continuous Media Mechanics, UB RAS, Perm 614013, Russia.
  2. Department of Theoretical Physics, Perm State University, Perm 614990, Russia.
  3. Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.
  4. Department of Control Theory, Nizhny Novgorod State University, Gagarin Av. 23, 606950, Nizhny Novgorod, Russia.

PMID: 27922105 PMCID: PMC5138633 DOI: 10.1038/srep38518

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.

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