Microcontroller-based simulation of a nonlinear resistive-capacitive-inductance shunted Josephson junction model and applications in electromechanical engineering
Abstract The equations, modelling a nonlinear resistive-capacitive-inductance shunted Josephson junction (NRCLJJ) subjected to various signal shapes of the electrical current, are simulated experimentally using the Arduino Uno-type microcontroller that takes benefit of its simplicity, lost cost, high precision, ease of implementation, and stability compared to the voltage-controlled oscillators (VCO) circuitry. Real time electrical signals are observed presenting various dynamics. Shapiro steps (SS) from the IV-characteristics are also obtained. These real electrical signals are then used to power an electromechanical pendulum in the second part of this work. Bifurcation diagram shows that the pendulum exhibits periodic and chaotic dynamics.