New Research Trends in Nonlinear Circuits: Design, Chaotic Phenomena and Applications

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Series: Electronics and Telecommunications Research
BISAC: SCI055000

Nowadays, circuits, both linear and nonlinear, still remain the core components of most electronic devices and systems. As these systems, such as mechatronics, communications, cryptosystems and industrial electronics become more and more sophisticated, better functionality and reliability of these technologies require more intriguing use of nonlinear circuits. For this reason, the research in the topic of nonlinear circuits has already passed from the stage of using them as a tool for analog simulation of nonlinear dynamical systems to the stage of using them as the basic component in the aforementioned systems.

It is a fact that the observation of chaotic phenomena in nonlinear circuits was and still remains one of the major motivations for studying the nonlinear circuit theory. In the previous two decades, a number of workshops and conferences, journal issues, research monographs and books, were focused on analysis and studying chaotic phenomena in various nonlinear circuits. Also, nonlinear circuits were a field in which many chaotic phenomena have been observed for the first time.

However, the nonlinear circuits have now passed from the traditional trend of studying and understanding chaos in a new research direction in the field of applied chaos technology. So, there is an increasing interest not only in the traditional chaos generation and analysis via circuitry but also in the new consideration of utilizing chaos in real physical systems. As a result, electronic engineers are really giving to chaos more and more attention and they use nonlinear circuits in an increasing number of engineering applications.

This book aims to bridge the gap between these two research stages on the progress of nonlinear circuits and also open up some new directions of real applications where chaos can be put up to technological use, including secure communication systems, radio frequency operating circuits’ design, memristors and cryptography. Finally, this book can serve as an updated and handy reference for university professors, graduate students, laboratory researchers as well as physicists and applied mathematicians who are interested in studying the chaos and its applications through the field of nonlinear circuits. (Imprint: Nova)

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Table of Contents

Table of Contents

Preface

Acronyms

Section 1. Nonlinear Circuits: Theory, Models and Phenomena

Chapter 1 – A Radio-Frequency Operating Colpitts-Type Circuit (pp. 3-20)
Christos K. Volos, Ioannis M. Kyprianidis and Ioannis N. Stouboulos (Department of Physics, Aristotle University of Thessaloniki, Greece)

Chapter 2 – Nonlinear Dynamics of a Gunn Oscillator (pp. 21-58)
Bishnu Charan Sarkar (Physics Department, Burdwan University, Burdwan, West Bengal, India)

Chapter 3 – A Chaotic Time-Delay Sampled-Data System with Applications (pp. 59-72)
Ramazan Yeniceri, Serdar Ozoguz and Mustak E. Yalcin (Department of Electronics & Communication Engineering, Istanbul Technical University, Turkey)

Chapter 4 – Design of Autonomous Time-Delayed Hyperchaotic Systems (pp. 73-94)
Tanmoy Banerjee, Debabrata Biswas and B. C. Sarkar (Department of Physics, University of Burdwan, West Bengal, India)

Chapter 5 – Chaotic Systems and Circuits with Hidden Attractors (pp. 945-112)
Sajad Jafari, Viet-Thanh Pham and Julien Clinton Sprott (Amirkabir University of Technology, Iran and others)

Chapter 6 – Lyapunov Exponent, Bifurcation and Entropy Evaluation in 1D Chaotic Maps (pp. 113-130)
José Luis Valtierra-Sánchez de la Vega and Esteban Tlelo-Cuautle (INAOE, Electronics Department, Tonantzintla, Puebla, Mexico)

Chapter 7 – Unimodal 1-D Maps: Cousins in Nature (pp. 131-152)
N. A. Gerodimos, P. A. Daltzis, M. P. Hanias, H. E. Nistazakis and G. S. Tombras (Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Greece)

Chapter 8 – Non-Autonomous Boolean Chaos in a Driven Ring Oscillator (pp. 153-168)
Jonathan N. Blakely, Ned J. Corron, Shawn D. Pethel, Mark T. Stahl and Jianbo Gao (Charles M. Bowden Laboratory, U. S. Army Aviation & Missile Research, Development, & Engineering Center, Redstone Arsenal, Alabama, US and others)

Section 2: Memory Elements (Memristors, Memcapacitors)

Chapter 9 – New Research Trends for Implementing Chaotic Systems with Memristors (pp. 171-198)
Viet-Thanh Pham, Christos K. Volos and Tong Duy Son (Hanoi University of Science and Technology, Vietnam and others)

Chapter 10 – Development of a Memcapacitor Based Chaotic Circuit (pp. 199-212)
A. L. Fitch, H. H. C. Iu and D. S. Yu (School of Electrical, Electronic and Computer Engineering, University of Western Australia, Australia and others)

Section 3: Applications of Control and Synchronization of Chaos

Chapter 11 – Chaotic Nonlinear Circuits: Definition and Control (pp. 215-268)
Ahmad Fakharian, Morteza Nazari Monfared, Seyedeh Marzieh Hosseini Dolatabadi, Leila Sedghi and Masoud Emam (Faculty of Electrical, Biomedical and Mechatronic Engineering, Qazvin Branch, Islamic Azad University, Iran)

Chapter 12 – On the Control of Chaotic Behavior of a Stepper Motor (pp. 269-296)
Yosra Miladi, Moez Feki and Nabil Derbel (Research Group CEMLab, National Engineering School of Sfax, University of Sfax, Tunisia)

Chapter 13 – Projective Synchronization Scheme Based on Fuzzy Controller for Unknown Multivariable Non-Affine Chaotic Systems: Application to Chua’s Circuit (pp. 297-318)
A. Boulkroune, A. Bouzeriba, S. Hamel and T. Bouden (LAJ Laboratory, and NDT Laboratory, University of Jijel, Ouled-Aissa, Jijel, Algeria)

Chapter 14 – Kalman Filter Variants for Nonlinear Systems – Applications to Synchronization of Chaotic Systems (pp. 319-338)
Mohamed Moussaoui (ENSA of Tanger, Abdelmalek Essaadi University, Morocco)

Chapter 15 – Synchronizing Integer and Fractional Order Chua‘s Circuit (pp. 339-370)
Moez Feki and Ichraf El Gammoudi (Research Group CEMLab, National Engineering School of Sfax, University of Sfax, Tunisia)

Section 4: Chaotic Secure Communication Systems and Cryptosystems

Chapter 16 – A Secure Communication Scheme Based on the Synchronization of a Chaotic System (pp. 373-392)
Mauricio Zapateiro De la Hoz, Leonardo Acho and Yolanda Vidal (Universidade Tecnológica Federal do Paraná, Cornélio Procópio, Paraná, Brazil and others)

Chapter 17 – Scalable Hardware Architecture for Controlled N Dimensional Autonomous Chaotic Systems (pp. 393-420)
Camel Tanougast, Said Sadoudi and Mohamed Salah Azzaz (ASEC Team-LCOMS, University of Lorraine, Metz, France and others)

Chapter 18 – Α Video Steganography System for Secure Data Communication (pp. 421-438)
Apostolos P. Leros and Antonios S. Andreatos (Department of Automation, School of Technological Applications Technological Educational Institute of Sterea Hellas, and Division of Computer Engineering and Information Science, Hellenic Air Force Academy, Greece)

Index

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