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

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.