Complicated dynamics in a memristor-based RLC circuit

As the fourth basic circuit element, the memristor is usually employed to design chaotic circuit for the special electrical properties. This paper introduces a memristor-based RLC oscillation circuit with fourth-order differential equation. Basic dynamical properties of the system are revealed by analyzing phase portrait, time-domain waveform, Poincare map, equilibrium point, bifurcation diagram and Lyapunov exponent. Specially, coexisting attractor with the variation of initial value is explored in this system, which means the multi-stability arises. And it is also found that there exists complicated transient dynamical behavior for some initial conditions and parameters, which completely differs from the existed modes of transient chaos and transient period.

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