Eur. Phys. J. B (2022) 95: 91
https://doi.org/10.1140/epjb/s10051-022-00343-8

Regular Article - Statistical and Nonlinear Physics

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

¹ Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
² Center for Nonlinear Systems, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
³ School of Geology and Mining Engineering, University of Ngaoundere, P.O. Box: 115, Meiganga, Cameroon
⁴ Department of Mechanical, Petroleum and Gas Engineering, National Advanced School of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
⁵ National Advanced School of Engineering, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon

^d alainfrancis.aft@gmail.com

Received: 4 January 2022
Accepted: 29 April 2022
Published online: 2 June 2022

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.