Simplest memristive system

Many potential applications are developed towards the new memristive systems. However, these systems are too complicated to produce the real elements, the simplifications of memristive systems are interesting to our future applications. The simplest memristive system is modeled to make the real elements more practical in the electric circuit, which may confirm three fingerprints of memristor. These results verified by Matlab and Multisim simulations indicate that the proposed memristive system produces a pinched hysteresis loop for a periodic input. The voltage-current relation-ships are investigated for two parallel memristor circuits-a parallel memristor and capacitor circuit, and a parallel memristor and inductor circuit. It may be convenient and useful for our future application in the circuit.