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  • Letter

Asymmetry-induced isolated fully synchronized state in coupled oscillator populations

Oleh E. Omel'chenko1,*, Jorge Luis Ocampo-Espindola2, and István Z. Kiss2

  • 1Institute of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Straße 24/25, 14476 Potsdam, Germany
  • 2Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, USA

  • *Corresponding author: omelchenko@uni-potsdam.de

Phys. Rev. E 104, L022202 – Published 11 August, 2021

DOI: https://doi.org/10.1103/PhysRevE.104.L022202

Abstract

A symmetry-breaking mechanism is investigated that creates bistability between fully and partially synchronized states in oscillator networks. Two populations of oscillators with unimodal frequency distribution and different amplitudes, in the presence of weak global coupling, are shown to simplify to a modular network with asymmetrical coupling. With increasing the coupling strength, a synchronization transition is observed with an isolated fully synchronized state. The results are interpreted theoretically in the thermodynamic limit and confirmed in experiments with chemical oscillators.

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