Memristive Nonlinear Electronic Circuits (eBook)

​Fadhil Rahma was born in Messan, Iraq, in 1974. He graduated in Electrical Engineering in 1997 and received the MSc in control and systems engineering in 2000, PhD control and systems in 2013, at the College of Engineering, University of Basrah, Iraq. Currently, he is a Professor at the University of Basrah. His scientific interests include nonlinear systems and chaos, Cellular Nonlinear Networks (CNN), complex systems, nonlinear circuits, control and synchronization.Saif Muneam was born in Basrah, Iraq, in 1992. He graduated in Electrical Engineering in 2015 and received the MSc in communications and electronics engineering in 2018 at the College of Engineering, University of Basrah, Iraq. His interests are memristors, synchronization, nonlinear circuits and communications.

Preface 6
Contents 8
1 Introduction 10
1.1 What Is a Memristor? 10
1.2 The Three Circuit Elements 11
1.3 The Missing Element 12
1.4 The Memristor Applications 13
1.5 Nonlinear Circuits 14
1.6 A Brief Survey on Nonlinear Memristive Systems 15
1.7 Book Contributions 18
References 19
2 The Memristor: Theory and Realization 20
2.1 Analogy of Memristor 20
2.2 Memristor Characteristics 21
2.3 The Proposed Memristor Model 21
2.4 Circuit Realization of the Proposed Memristor Model 27
References 33
3 Memristive Electronic Circuits 34
3.1 Time-Delay Memristive System 34
3.1.1 A New Autonomous Memristive Time-Delay System 35
3.1.2 A New Nonautonomous Memristive Time-Delay System 38
3.2 Circuit Realization of Memristive Time-Delay Systems 42
3.3 A New Two Memristor-Based Chaotic System 54
3.3.1 Circuitry Realization 55
References 60
4 Synchronization of Memristive Electronic Circuits 61
4.1 Chaos Synchronization 61
4.1.1 Pecora and Carroll Method 62
4.1.2 Synchronization via Control 65
4.2 Circuit Realization 68
4.2.1 PC Synchronization Electronic Circuit 68
4.2.2 Feedback Control Synchronization Electronic Circuit 71
References 88
5 Cryptography Based on Memristive Electronic Circuits 89
5.1 The Proposed Cryptography Technique 89
5.1.1 The Cipher Key Algorithm 90
5.2 Circuit Realization 94
References 103
6 Conclusions and Future Works 104
6.1 Conclusions and Contributions 104
6.2 Future Works 105
Reference 105