A novel non-autonomous hyperchaotic map based on discrete memristor parallel connection

Abstract Since the method of discretizing memristors was proposed, discrete memristors (DMs) have become a very important topic in recent years. However, there has been little research on non-autonomous discrete memristors (NDMs) and their applications. Therefore, in this paper, a new NDM is constructed, and a non-autonomous hyperchaotic map is proposed by connecting this non-autonomous memristor in parallel with an autonomous memristor. This map exhibits complex dynamical behaviors, including infinitely many fixed points, initial-boosted attractors, initial-boosted bifurcations, and the size of the attractors being controlled by the initial value. In addition, a simple pseudo-random number generator (PRNG) was designed using the non-autonomous hyperchaotic map, and the pseudo-random numbers (PRNs) generated by it were tested using the National Institute of Standards and Technology (NIST) SP800-22 test suite. Finally, the non-autonomous hyperchaotic map is implemented on the STM32 hardware experimental platform.