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Resurgence of oscillation in coupled oscillators under delayed cyclic interaction

Author

Listed:
  • Bidesh K. Bera

    (Physics and Applied Mathematics Unit, Indian Statistical Institute)

  • Soumen Majhi

    (Physics and Applied Mathematics Unit, Indian Statistical Institute)

  • Dibakar Ghosh

    (Physics and Applied Mathematics Unit, Indian Statistical Institute)

Abstract

This paper investigates the emergence of amplitude death and revival of oscillations from the suppression states in a system of coupled dynamical units interacting through delayed cyclic mode. In order to resurrect the oscillation from amplitude death state, we introduce asymmetry and feedback parameter in the cyclic coupling forms as a result of which the death region shrinks due to higher asymmetry and lower feedback parameter values for coupled oscillatory systems. Some analytical conditions are derived for amplitude death and revival of oscillations in two coupled limit cycle oscillators and corresponding numerical simulations confirm the obtained theoretical results. We also report that the death state and revival of oscillations from quenched state are possible in the network of identical coupled oscillators. The proposed mechanism has also been examined using chaotic Lorenz oscillator.

Suggested Citation

  • Bidesh K. Bera & Soumen Majhi & Dibakar Ghosh, 2017. "Resurgence of oscillation in coupled oscillators under delayed cyclic interaction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(7), pages 1-9, July.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:7:d:10.1140_epjb_e2017-70743-2
    DOI: 10.1140/epjb/e2017-70743-2
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    Cited by:

    1. Florian Klug, 2022. "Modelling oscillations in the supply chain: the case of a just-in-sequence supply process from the automotive industry," Journal of Business Economics, Springer, vol. 92(1), pages 85-113, January.

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    Keywords

    Statistical and Nonlinear Physics;

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