A single-T chaotic circuit based on a physical memristor

In this paper, a single-T chaotic circuit with physical memristor is designed. The dynamic properties of this system are analyzed through phase diagram, Lyapunov exponent spectrum, bifurcation diagram, and Poincaré map. The system produces rich dynamic behaviors such as stable points, limit cycles, chaos under different initial values and circuit parameters. In addition, some strange phenomena such as coexisting attractors, state transition, transient chaos, and steady-state chaos accompanied by burst period phenomena are also studied in this system. All the results will provide some guidelines for physical implementation based on memristor.