Dynamical analysis of the meminductor-based chaotic system with hidden attractor

The meminductor is a new type of memory circuit element which is defined based on the memristor. To explore the application of the meminductor in the nonlinear circuits, a mathematical model of meminductor is proposed and applied to nonlinear circuits. In this work, a simple meminductor-based chaotic system is designed. The equilibrium point of the system is controlled by the externally excited sinusoidal signal in the circuit. No matter what the value of the externally excited signal is, the chaotic attractor generated by the proposed system is hidden. The dynamic characteristics of the system are analyzed by theoretical analysis and numerical simulation. The results show that the dynamic behaviors of the system are affected by the circuit parameters and the circuit running time. The proposed system shows some novel nonlinear phenomena, such as transient chaos and state transitions. In addition, the existence of coexisting attractors, such as chaotic, periodic and quasi-periodic attractors, is analyzed in different initial states.