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

Abstract

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.

KEYWORDS:

• Bifurcation
• Chaos
• Chua’s circuit
• Chua’s diode
• Eigenvalues
• Lyapunov exponents
• Memristor

Additional information

Notes on contributors

Sam Thomas

Sam Thomas received his BE degree in electronics and communications engineering from Anna University, Chennai, Tamil Nadu, India in 2005 and the ME degree in applied electronics also from Anna University, Chennai, Tamil Nadu, India in 2007. He is currently pursuing the PhD degree in electronics engineering at Anna University, Chennai, Tamil Nadu, India. His areas of interest are memristor modelling, image processing, microcontroller-based application development and chaos theory.

Savarimuthu Prakash

Savarimuthu Prakash received Masters in Engineering in ECE at BIT, India and received Doctorate at IISc Bangalore, specializing in the field of amorphous memory tools. Thereafter, he was the research fellow in the Department of Electrical and Computer Engineering, at NUS, Singapore on ohmic contacts on GaN materials. Furthermore, he continued research as post-doctoral fellow on TFTs for imaging and display application in the Department of Electrical and Computer Engineering at the University of Waterloo. He has authored or co-authored in 20 research papers at several international journals and international conferences. E-mail: [email protected]

Sankara Malliga Gopalan

Sankara Malliga Gopalan received ME in digital communication and networking from Anna University in 2006, followed by PhD from Anna University in 2013, in wireless networks. Eight papers have been published in Scopus indexed journals focusing on computer networks, wireless networks and protocols. A total of 18 years has been devoted to the field of engineering education by her. Currently, she is heading the Department of Electronics and Communication in Anand Institute of Higher Technology Chennai, India. Email: [email protected]