A novel 2D non-autonomous discrete memristor-based hyperchaotic map and its hardware implementation

Many achievements have been made in the study of bursting oscillations of continuous-time chaotic systems and memristor coupled chaotic maps. However, the study of bursting oscillations in coupled maps of discrete memristors (DMs) has not received sufficient attention. Therefore, in this paper, a new non-autonomous discrete memristor (NDM) is coupled with a sine map, and a novel 2D NDM-based hyperchaotic (NDMH) map with a line of fixed points is established. The NDMH map exhibits complex dynamical behavior such as bursting oscillations, amplitude control, attractor rotation, and chaotic sequence displacement. Finally, the numerical results are verified by hardware experiments.