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Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging

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  • Sathiyadevi, K.
  • Premraj, D.
  • Banerjee, Tanmoy
  • Zheng, Zhigang
  • Lakshmanan, M.

Abstract

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators under a discrete time-dependent coupling. In this coupling, the connections among the oscillators are turned ON and OFF in a systematic manner, having either a symmetric or an asymmetric time interval. We discover that depending upon the time period and duty cycle of the ON-OFF intervals, the aging region shrinks drastically in the parameter space, therefore promoting restoration of oscillatory dynamics from the aging. In the case of symmetric discrete coupling (where the ON-OFF intervals are equal), the aging zone decreases significantly with the resumption of dynamism with an increasing time period of the ON-OFF intervals. On the other hand, in the case of asymmetric coupling (where the ON-OFF intervals are not equal), we find that the ratio of the ON and OFF intervals controls the aging dynamics: the aging state is revoked more effectively if the interval of the OFF state is greater than the ON state. Finally, we study the transition in aging using a discrete pulse coupling: we note that the pulse interval plays a crucial role in determining the aging region. For all the cases of discrete time-dependent couplings, the aging regions are shrinking and the rhythmicity gets enhanced in a controlled manner. Our findings suggest that this type of coupling can act as a noninvasive way to restore the oscillatory dynamics from an aging state in a network of coupled oscillators.

Suggested Citation

  • Sathiyadevi, K. & Premraj, D. & Banerjee, Tanmoy & Zheng, Zhigang & Lakshmanan, M., 2022. "Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001540
    DOI: 10.1016/j.chaos.2022.111944
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    References listed on IDEAS

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    1. Bandyopadhyay, Biswabibek & Khatun, Taniya & Dutta, Partha Sharathi & Banerjee, Tanmoy, 2020. "Symmetry breaking by power-law coupling," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Wei Zou & D. V. Senthilkumar & Raphael Nagao & István Z. Kiss & Yang Tang & Aneta Koseska & Jinqiao Duan & Jürgen Kurths, 2015. "Restoration of rhythmicity in diffusively coupled dynamical networks," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
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