Eur. Phys. J. B (2021) 94: 234
https://doi.org/10.1140/epjb/s10051-021-00256-y

Regular Article - Solid State and Materials

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

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, Tamilnadu, India
³ Department of Rural Engineering, Faculty of Agronomy and Agricultural Sciences, University of Dschang, P. O Box 222, Dschang, Cameroon
⁴ Department of Mechanical, Petroleum and Gas Engineering, Faculty 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

Received: 28 August 2021
Accepted: 22 November 2021
Published online: 30 November 2021

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.