关键词: 忆阻器,混沌,蔡氏电路,Lyapunov指数,动力学特性

Abstract: Based on the definition of memristor,a simpler charge-controlled memristor model was used,whose relation between memristance M and charge q can be described by a quadratic nonlinearity curve.The v-i curve exhibits a pinched hysteresis loop like“8” whose shape varies with the frequency and amplitude of the periodic input.Then we got a charge-controlled memristor-based chaotic circuit from Chua’s oscillators by replacing Chua’s diodes with this charge-controlled memristor model which turns out some dynamical characteristics including portrait diagrams,time domain wavetorms,Lyapunov exponent and dimension.Varying initial value,we proved the dynamical track of this chaotic system will make a huge difference when a tiny change happens to initial state.Lyapunov exponent spectrum indicates that this system will become a hyper-chaos system when initial state changes.Furthermor,the stable condition eliminating the influence of zero characteristic root of this chaotic system in equilibrium points is judged by Routh criterion.

Key words: Memristor,Chaos,Chua’s Circuit,Lyapunov exponent,Dynamic characteristic