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Neuronal circuit based on Josephson junction actuated by a photocurrent: dynamical analysis and microcontroller implementation

Author

Listed:
  • Noel Freddy Fotie Foka

    (University of Yaoundé I)

  • Balamurali Ramakrishnan

    (Chennai Institute of Technology)

  • André Cheage Chamgoué

    (University of Ngaoundere)

  • Alain Francis Talla

    (University of Maroua)

  • Victor Kamgang Kuetche

    (University of Yaoundé I)

Abstract

A circuit made of a phototube in series with a linear resistor connected in parallel to a resistor–capacitor shunted Josephson junction (JJ) is proposed to describe a neuron sensitive to external illuminations. The neuronal circuit based on JJ actuated by a photocurrent is analytically, numerically and experimentally investigated in this paper. The stability of the equilibrium points obtained from the rate equations describing the neuronal circuit based on JJ actuated by a photocurrent is studied. The hysteresis loop widths of current–voltage curves increase with the increase of the damping parameter due to the linear resistor in series with phototube for a constant phototube voltage. Whereas the hysteresis loop of current–voltage curves shifts on the left with the increase of constant phototube voltage. Periodic spiking oscillations, periodic bursting oscillations, continuous spiking oscillations, chaotic spiking oscillations, and chaotic oscillations are found during the numerical analysis by varying the damping parameter due to the linear resistor in series with the phototube and modulation parameters of a sinusoidal voltage of phototube. Finally, the numerical analysis results are confirmed by the microcontroller implementation of a neuronal circuit based on JJ neuron actuated by a photocurrent. Graphical abstract

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:6:d:10.1140_epjb_s10051-022-00343-8
    DOI: 10.1140/epjb/s10051-022-00343-8
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    References listed on IDEAS

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    1. Liu, Tianming & Yan, Huizhen & Banerjee, Santo & Mou, Jun, 2021. "A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. 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).
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    4. 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).
    5. 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.
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