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Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators

Author

Listed:
  • Alexey V. Rusakov

    (Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia)

  • Dmitry A. Tikhonov

    (Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia
    Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Professor Vitkevich St., 1, 142290 Pushchino, Moscow Region, Russia)

  • Nailya I. Nurieva

    (Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia)

  • Alexander B. Medvinsky

    (Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia)

Abstract

We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a threshold value. The transformation of the initially chaotic dynamics into the regular dynamics in a number of the coupled oscillators is shown to result from suppression of chaos by separation of certain oscillation periods from the continuous spectra, which are characteristic of chaotic oscillations.

Suggested Citation

  • Alexey V. Rusakov & Dmitry A. Tikhonov & Nailya I. Nurieva & Alexander B. Medvinsky, 2021. "Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:601-:d:514965
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    References listed on IDEAS

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    1. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
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