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Dynamical analysis of Josephson junction neuron model driven by a thermal signal and its digital implementation based on microcontroller

Author

Listed:
  • Noel Freddy Fotie Foka

    (University of Yaoundé I)

  • Balamurali Ramakrishnan

    (Chennai Institute of Technology)

  • André Rodrigue Tchamda

    (University of Dschang)

  • Sifeu Takougang Kingni

    (University of Maroua)

  • Karthikeyan Rajagopal

    (Chennai Institute of Technology)

  • Victor Kamgang Kuetche

    (University of Yaoundé I)

Abstract

The dynamical features and the digital implementation of a microcontroller Josephson junction neuron model driven by a thermal signal is investigated in this paper. By designing the system above as a thermistor in series to some variant voltage source connected in parallel to a resistor and a capacitor, we show that the hysteresis loop appearances are strongly temperature and applied voltage source dependent. We further determine the equilibrium points of the model system while studying their stability. Following the numerical analysis, we find out the existence of period-1-oscillations, continuous spiking oscillations, periodic bursting oscillations, and chaotic oscillations in the neural activities as functions of the temperature and modulation parameters of the sinusoidal voltage source. As an illustration, we implement some digital system measurements in view of discussing deeply the previous findings while providing their physical implications. Graphical abstract

Suggested Citation

  • Noel Freddy Fotie Foka & Balamurali Ramakrishnan & André Rodrigue Tchamda & Sifeu Takougang Kingni & Karthikeyan Rajagopal & Victor Kamgang Kuetche, 2021. "Dynamical analysis of Josephson junction neuron model driven by a thermal signal and its digital implementation based on microcontroller," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(12), pages 1-7, December.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:12:d:10.1140_epjb_s10051-021-00256-y
    DOI: 10.1140/epjb/s10051-021-00256-y
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    References listed on IDEAS

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    1. Xu, Ying & Guo, Yeye & Ren, Guodong & Ma, Jun, 2020. "Dynamics and stochastic resonance in a thermosensitive neuron," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    2. Xu, Quan & Tan, Xiao & Zhu, Dong & Bao, Han & Hu, Yihua & Bao, Bocheng, 2020. "Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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    Cited by:

    1. Karthikeyan Rajagopal & Suresh Kumarasamy & Sathiyadevi Kanagaraj & Anitha Karthikeyan, 2022. "Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.
    2. Noel Freddy Fotie Foka & Balamurali Ramakrishnan & André Cheage Chamgoué & Alain Francis Talla & Victor Kamgang Kuetche, 2022. "Neuronal circuit based on Josephson junction actuated by a photocurrent: dynamical analysis and microcontroller implementation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(6), pages 1-8, June.

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