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

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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.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, UB RAS, 614013, Perm, Russia

    Denis S. Goldobin & Anastasiya V. Pimenova

  2. Department of Theoretical Physics, Perm State University, 614990, Perm, Russia

    Denis S. Goldobin

  3. Institute for Physics and Astronomy, University of Potsdam, 14476, Potsdam-Golm, Germany

    Michael Rosenblum & Arkady Pikovsky

  4. Department of Control Theory, Nizhny Novgorod State University, 606950, Nizhny Novgorod, Russia

    Arkady Pikovsky

Authors
  1. Denis S. Goldobin
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  2. Anastasiya V. Pimenova
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  3. Michael Rosenblum
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  4. Arkady Pikovsky
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Corresponding authors

Correspondence to Denis S. Goldobin, Anastasiya V. Pimenova, Michael Rosenblum or Arkady Pikovsky.

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Goldobin, D.S., Pimenova, A.V., Rosenblum, M. et al. Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble. Eur. Phys. J. Spec. Top. 226, 1921–1937 (2017). https://doi.org/10.1140/epjst/e2017-70039-y

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  • DOI: https://doi.org/10.1140/epjst/e2017-70039-y

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