Memristive Nonlinear Electronic Circuits

Memristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls. For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.

Autorentext
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.

Klappentext
*Memristive Nonlinear Electronic Circuits *deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls.

For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.

Zusammenfassung
Memristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls.

For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.

Inhalt

1 Introduction

1.1 What is a Memristor?

1.2 The Three Circuit Elements

1.3 The Missing Element 1.4 The Memristor Application

1.5 Nonlinear Circuits

1.6 A Brief Survey on Nonlinear Memristive Systems 1.7 Book Contributions

2 The Memristor: Theory and Realization

2.1 Analogy of Memristor 2.2 Memristor Characteristics

2.3 The Proposed Memristor Model

2.4 Circuit Realization of The Proposed Memristor Model

2.5 Conclusion

3 Memristive Electronic Circuits

3.1 Time-Delay Memristive System 3.1.1 A New Autonomous Memristive Time-Delay System

3.1.2 A New Nonautonomous Memristive Time-Delay System

3.2 Circuit Realization of Memristive Time-Delay Systems 3.3 A New Two Memristors Based Chaotic System

3.3.1 Circuit Realization

3.4 Conclusions

4 Synchronization of Memristive Electronic Circuits

4.1 Chaos Synchronization

4.1.1 Pecora and Carroll Method 4.1.2 Synchronization Via Control

4.2 Circuit Realization

4.2.1 PC Synchronization Electronic Circuit

4.2.2 Feedback Control Synchronization Electronic Circuit

4.3 Conclusions

5 Cryptography Based on Memristive Electronic Circuits

5.1 The Proposed Cryptography Technique

5.1.1 The Cipher Key Algorithm

5.2 Circuit Realization

5.3 Conclusions

**6 Conclusions and…