Cu-Doped TiO2− x Nanoscale Memristive Applications in Chaotic Circuit and True Random Number Generator

TiO ₂ has attracted significant attention as a prototypical material for memristors. In this article, a Cu-doped TiO _{2 −x} nanoscale memristor with a structure of Ti/TiO _{2- x} :Cu/Cu is built, whose faithful mathematical model is established based on the memristive behaviors and its switching mechanism. Using this model, a chaotic system is constructed and its complex dynamics are investigated by numerical simulations. Furthermore, hardware experiments are also designed to verify the model in a chaotic circuit. The chaotic attractors obtained by simulations and hardware experiments are consistent, demonstrating the reliable performance of the Ti/TiO _{2- x} :Cu/Cu memristor and the correctness of its mathematical model. The processes of memristor from manufacture and mathematical modeling to its verification in a chaotic circuit are presented.