Modeling and hardware study demonstrates rich chaotic dynamics in nonlinear Josephson junctions, indicating successful microcontroller implementation for practical applications.
In this work, the modelling and microcontroller implementation of Nonlinear Resistor-Capacitor-Inductor Josephson Junction (RCLSJJ) with Hysteretic Iron-Core is investigated. The nonlinear inductor is modeled using a tangent interference term. In the first part of this study, we analyze the Josephson junction model with a nonlinear inductor. The dynamical behaviors of the system are investigated using classical tools such as one-parameter bifurcation diagrams, Fast Fourier Transform (FFT) spectrums, and phase portraits. Numerical simulations performed in MATLAB reveal that the JJ-based nonlinear inductor exhibits a variety of behaviors, including excitable modes, regular spiking, periodic bursting, chaotic attractors, and periodic attractors. To support both engineering applications and educational purposes, a microcontroller-based implementation of the Piecewise Resistor-Capacitor-Inductor-Shunted Josephson Junction (PRCL-SJJ) circuit is developed. The results from the digital implementation closely match those obtained from numerical simulations.
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Ndimoh et al. (2026) studied this question.
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