A negative capacitor emulator circuit and its application in chaotic circuits

Negative capacitance usually exists in ferroelectric materials, and its instinct nonlinearity and negative capacitance render its potential applications. To date, the single negative capacitance device is commonly unavailable. Hence, it is necessary to build a negative capacitor emulator in hardware for further investigating its electrical characteristics and applications. Based on a simple negative capacitor mathematical model, an emulator circuit that can mimic the S-shaped voltage-charge characteristics of the negative capacitor is proposed. The proposed emulator is composed of commercial off-the-shelf components, such as operational amplifiers, resistors, and capacitors. Based on the negative capacitor, we design a new chaotic circuit that can generate the single-period, double-period, single-scroll chaos, double-scroll chaos, and so on. The theoretical calculation, simulation analysis, and hardware experimental verification manifest that this proposed emulator circuit can be operated as a negative capacitor and applied in the chaotic circuit.