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Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology

Author

Listed:
  • Yuki Okigawa

    (Ibaraki University 4-12-1 Nakanarusawa)

  • Yoshiki Sugitani

    (Ibaraki University 4-12-1 Nakanarusawa)

  • Keiji Konishi

    (Osaka Prefecture University 1-1 Gakuen-cho)

Abstract

The present study investigates amplitude death in an oscillator network with asymmetric connection delays and a tree graph topology. A frequency domain analysis reveals that the local steady-state stability is dominated by the sum of the connection delays between connected oscillators. Based on this observation, we show that the local steady-state stability can be reduced to that with symmetric connection delays, as long as the sum of the connection delays between connected oscillators satisfies a certain condition. Numerical simulations verify the analytical results. Graphical abstract

Suggested Citation

  • Yuki Okigawa & Yoshiki Sugitani & Keiji Konishi, 2020. "Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(7), pages 1-7, July.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:7:d:10.1140_epjb_e2020-10018-5
    DOI: 10.1140/epjb/e2020-10018-5
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    Statistical and Nonlinear Physics;

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