Two scenarios for the onset and suppression of collective oscillations in heterogeneous populations of active rotators.

@article{Klinshov2019TwoSF,
  title={Two scenarios for the onset and suppression of collective oscillations in heterogeneous populations of active rotators.},
  author={Vladimir V. Klinshov and Igor Franovi'c},
  journal={Physical review. E},
  year={2019},
  volume={100 6-1},
  pages={
          062211
        }
}
We consider the macroscopic regimes and the scenarios for the onset and the suppression of collective oscillations in a heterogeneous population of active rotators composed of excitable or oscillatory elements. We analyze the system in the continuum limit within the framework of Ott-Antonsen reduction method, determining the states with a constant mean field and their stability boundaries in terms of the characteristics of the rotators' frequency distribution. The system is established to… 

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