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Suppressing Spiral Wave Turbulence In A Simple Fractional-Order Discrete Neuron Map Using Impulse Triggering

Author

Listed:
  • KARTHIKEYAN RAJAGOPAL

    (Center for Nonlinear Systems, Chennai Institute of Technology, India)

  • SHIRIN PANAHI

    (Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran)

  • MO CHEN

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P. R. China)

  • SAJAD JAFARI

    (Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran5Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran)

  • BOCHENG BAO

    (School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P. R. China)

Abstract

One-dimensional (1D) map-based neuron models are of significant interest according to their simplicity of simulation and ability to mimic real neurons’ complex behaviors. A fractional-order 1D neuron map is proposed in this paper. Dynamical characteristics of the model are analyzed by obtaining bifurcation diagrams and the Lyapunov exponents’ diagram. Furthermore, emerging the spiral wave as one of the most important collective behaviors is studied in a 2D lattice consisting of this new FO neuron model. The outcome of changing stimuli, coupling strength, and fractional-order parameter as the effective parameters is examined in this network. Moreover, an efficient way of suppressing the spiral wave has been investigated using impulse triggering.

Suggested Citation

  • Karthikeyan Rajagopal & Shirin Panahi & Mo Chen & Sajad Jafari & Bocheng Bao, 2021. "Suppressing Spiral Wave Turbulence In A Simple Fractional-Order Discrete Neuron Map Using Impulse Triggering," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-10, December.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:08:n:s0218348x21400302
    DOI: 10.1142/S0218348X21400302
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    Cited by:

    1. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2024. "Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Vaibhav Varshney & S. Leo Kingston & Sabarathinam Srinivasan & Suresh Kumarasamy, 2024. "Hidden attractors in fractional-order discrete maps," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-10, October.

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