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

Noel Freddy Fotie Foka, Balamurali Ramakrishnan, André Cheage Chamgoué, Alain Francis Talla () and Victor Kamgang Kuetche
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 6, 1-8

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00343-8

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