Dynamical Behaviors of a TiO₂ Memristor Oscillator

We design a new chaotic oscillator based on the realistic model of the HP TiO₂ memristor and Chua's circuit. Some basic dynamical behaviors of the oscillator, including equilibrium set, Lyapunov exponent spectrum and bifurcations with respect to various circuit parameters, are investigated theoretically and numerically. Chaotic attractors generated by the proposed oscillator are described with simulations and experiments, showing a good agreement. The main finding by analysis is that the proposed oscillator has no transient chaos and weak hyperchaos appears. Furthermore, its stability is insensitive to its initial values, thereby generating continuous and stable chaotic oscillation signals for chaos-based applications.