A Discrete Memristive Hyperchaotic Map with a Modulo Function
Lazaros Laskaridis, CHRISTOS K. VOLOS, Ioannis N. Stouboulos, Ioannis P. Antoniades · 2023
Chua discovered the memristor in 1971, which is considered the fourth fundamental electrical component alongside resistance, capacitance, and inductance. In this work, a general map for constructing discrete memristive maps is combined with the modulo function. The study of the system’s dynamic behavior involves the use of various nonlinear techniques such as bifurcation diagrams, Lyapunov spectrum diagrams, and phase portraits. The investigation has led to the observation of various intriguing phenomena associated with chaos, including hyperchaotic behavior, periodic and chaotic orbits, the emergence of chaos via period doubling, and the occurrence of crisis phenomena.