Josephson junction oscillator embedded in the microcontroller: Pseudo-random number generation and combination synchronization

Abstract

Dynamical scrutiny of the resistive capacitive inductive shunted Josephson junction (JJ) oscillator (RCLSJJO), microcontroller realization, pseudo-random number generation (PRNG) and combination synchronization are achieved in this paper. Numerical probing led to the establishment that the RCLSJJO is characterized by regular behaviors, bistable periodic-2-oscillations, periodic bursting characteristics and various shapes of chaotic dynamics. Thereafter, the vast dynamical characteristics obtained theoretically are realized by the microcontroller realization with qualitative agreements. Moreover, a chaos-based PRNG is designed by using chaotic RCLSJJO and linear feedback shift register (LFSR) as post-processing unit. Satisfactory results are obtained from the NIST 800–22 test suite and the randomness of binary data generated from the proposed RCLSJJO-based PRNG is confirmed for chaos-based digital applications. Lastly, the combination chaos synchronization of two drive and one response RCLSJJO is proven thanks to the theoretical analysis.