Resistive–capacitive shunted Josephson junction with unharmonic current-phase relation: Analysis and microcontroller implementation

This paper discusses the theoretical analysis and microcontroller implementation of resistive–capacitive shunted Josephson junction (JJ) with unharmonic current-phase relation. The rate equations describing the system under study exhibit no, two, or four equilibrium points and their stability are investigated.The presence of Pitchfork bifurcation depends on the unharmonic parameter and the external direct current (DC) source. The hysteresis of current–voltage characteristics in resistive–capacitive shunted JJ with unharmonic current-phase relation is sensitive to the unharmonic parameter. The system under study exhibits periodic oscillations, continuous spiking oscillations, periodic bursting oscillations, and chaotic attractors with varying shapes which are sensitive to the modulation and unharmonic parameters. Finally, the microcontroller implementation of resistive–capacitive shunted JJ with unharmonic current-phase relation is realized and the microcontroller results are qualitatively the same as those obtained during the numerical simulations. •Resistive–capacitive shunted JJ with a high temperature.•Complex dynamical properties investigated.•Microcontroller implementation with validated the obtained results.