Design Of Memristor Emulator And Its Applications In Chaotic System

The memristor, next to the rest of the more familiar circuit elements such as the resistor, the capacitor, and the inductor, is considered as the fourth circuit element. Since a solid state implementation of the memristor was fabricated in Hewlett-Packard(HP) laboratory, because of its unique memory properties and nano-scale size, immense research interests have been inspired due to its potential applications in various fields such as random RAM, artifical neural network, and circuit design.There are some difficulties in realizing nano-scale memristor, since commercially available memristors are not expected to appear in the near future. It is difficult for researchers to study the electrical properties and the corresponding applications of memristor, therefore it is productive to have a memristor equivalent circuit, which can be used to simulation in chaos circuit experiment. The main study and contributions are given as follows:(1) Based on the electrical characteristics of HP memristor, an equivalent circuit of charge-controlled memristors is proposed in this paper. The Pspice simulation results show the electrical characteristics of the proposed equivalent circuit are well consistent with those of the HP memristor. The proposed equivalent circuit built with off-the-shelf components is very suitable for experimentally analysing and researching real-word application circuits with memristors. Furthermore it can be used to realize the chaos circuit simulating.(2) A novel design approach for memristor-based chaotic circuits is introduced in this paper. Memristor can be regard as a common two-port devices connecting in circuit. A new memristor five-order chaos circuit based on chua’ circuit is proposed. In particular, an equivalent circuit of the floating memristor is developed to physically implement the chaotic system; the Pspice simulation results are proved to be feasible.(3) Based on the physical model of HP memristor, a new mathematical model of charge-controlled memristors is proposed. A simplest cascade memristor chaotic circuit is constructed by a memristor, an inductance and a capacitance. The dynamic properties of the new circuit are demonstrated by means of dynamical methods. the corresponding circuit simulation implemented by Pspice, the Pspice simulation results are well consistent with theoretical analysis.