Analysis of Fourth-order Chaotic Circuit Based on the Memristor Model for Wireless Communication

The development by Hewlett-Packard of memristor, a fourth fundamental electronic component, has gained attention in the fields of memory technology and neuromorphic. As memristor components are not currently available commercially, modelling of memristors with associated circuit elements is required to build application circuits. In this work, based on the Hewlett-Packard memristor, we implement a new Chua’s chaotic circuit, which is a simple combination of electronic components which exhibit chaos. The nonlinear element in Chua’s circuit is substituted with an active memristor-based circuit consisting of a combination of negative resistor and TiO2-based memristor, which allows the circuit to exhibit chaos without scaling the differential equations and produces realistic voltages and currents across the circuit components. This paper indicates for the first time, chaotic oscillations are produced using memristor-based Chua’s circuit where actual physical equations, describing the memristor, are applied. The analysis of the proposed single memristor-based chaotic is discussed. Such a circuit is of interest in chaos-based systems for applications such as wireless communication.