A Memristor Chaotic Circuit Based on Wien-bridge Oscillator

A novel chaotic circuit with a single bifurcation parameter is presented in this paper. The circuit is composed of a Wien-Bridge oscillator and a piecewise-linear memristor. By adjusting the system parameter, the proposed circuit performs chaotic and hyper-chaotic behaviors from doubling-periodic. The dynamic properties of the new circuit are demonstrated via universal dynamics analysis methods such as equilibria stability, Lyapunov exponent spectra and bifurcation diagrams. An equivalent circuit which realizes the action of three segments piecewise linear flux- controlled memristor is proposed and employed to the chaotic circuit. The Pspice simulation results of the resultant circuit are consistent with theoretical analysis.