Design of General Flux-Controlled and Charge-Controlled Memristor Emulators Based on Hyperbolic Functions

In this article, a general memristor model emulator based on the hyperbolic function is proposed. Based on the mathematical model of hyperbolic function memristor, a general circuit model emulator is designed. The general circuit can realize memristor models of different hyperbolic functions by controlling the state of switches in the circuit. The advantage of the emulator is that it can realize three different mathematical models of hyperbolic function and be easily integrated. The circuit of the hyperbolic function memristor model conforms to three basic characteristics of the mem-element, so it can be regarded as a memristor element. Finally, the model of charge-controlled memristor based on hyperbolic function is derived. The universal memristor model proposed in this article enriches the research of constructing memristor components with existing components and provides a reference for future research on mem-element emulators.