Pseudo random number generator based on memristive Helmholtz snap oscillator with two lines of equilibria embedded in microcontroller

Abstract

This paper explores the dynamics and electronic validations of a memristive Helmholtz snap oscillator (MHSO), employing it to model a process of pseudo-random number generator (PRNG). The MHSO depicts two lines of Hopf bifurcation is associated with one of the equilibrium domains while the other region of equilibrium points is always unstable. Extreme multistability features, hidden complex attractors, antimonotonicity equilibrium points. Characterizing the stability of the equilibrium domains, period-3-oscillations and chaotic hidden attractors coexisting, chaotic bubbles, and hidden attractors are generated in MHSO for particular values of parameters. Electronic validations of MHSO based on OrCAD-PSpice software and microcontroller reveal that OrCAD-PSpice and microcontroller dynamics agree well with the dynamics achieved by numerical simulations. Lastly, the chaotic characteristics depicted by the MHSO are used to design a process of PRNG. The generated random bits are validated successfully by a standard statistical tool set by the National Institute of Standards and Technology (NIST-800-22).