A Memristor-Based Chaotic System with Boundary Conditions

This chapter proposes and studies a memristor-based chaotic system, which is constructed by incorporating a memristor into the canonical Chen oscillator with boundary conditions. Specifically, charge-controlled and flux-controlled memristor models with appropriate boundary conditions are introduced and the relation between the charge through and the flux across the memristor is derived. The rich and interesting dynamical behaviors of the memristive system are demonstrated. In particular, chaos in the system is verified by conventional means of, for instance, the Lyapunov exponent spectrum, observation of chaotic attractors, as well as basic bifurcation analysis. Finally, a basic analog circuit implementation of the memristive chaotic system based on PSPICE is presented.