A Memristor-Based Chaotic System with Bifurcation Analysis

This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.