A higher dimensional chaotic map with discrete memristor

Although memristor has been widely discussed in recent years, the topic of memristor in discrete domain is rarely mentioned. This paper presents a higher dimensional chaotic map based on the discrete memristor, and the dynamic behavior of memristor at different positions is investigated by chaotic attractor phase diagram, bifurcation diagram, system state analysis and complexity algorithm. Numerical simulations show that the discrete memristor model can not only enlarge the hyperchaotic region of the original system, but also enhance the system complexity. Furthermore, the change of memristor position in the system leads to different performance. These deserve further study and lay the foundation for the future applications of the discrete memristor.