Abstract

In this paper, a physical SBT memristor-based Wien-bridge chaotic circuit is proposed. The equilibrium point and stability of the chaotic circuit are analyzed theoretically. The dynamical characteristics of circuit system with the variation in the initial state and the circuit element parameters are investigated by means of Lyapunov exponents, bifurcation diagrams and phase portraits. The results show that the circuit system exhibits complex dynamic behaviors, such as stable point, period, and chaos. Specifically, the system can generate hidden chaotic attractors and coexisting chaotic attractors. All the results provide an important theoretical basis for the next physical implementation of the chaotic circuit.

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