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2019 | Book

Memristive Nonlinear Electronic Circuits

Dynamics, Synchronization and Applications

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About this book

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.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
Any two-terminal element exhibits pinched hysteresis loop when derived by bipolar periodic current (response voltage) or periodic voltage (response current), in the voltagecurrent plane, can be called memristor. The pinched hysteresis loop is a fingerprint of memristor (Adhikari et al. in IEEE Trans. Circ. Syst. I Regul. Pap. 60:3008–3021, 2013 [1]).
Fadhil Rahma, Saif Muneam
Chapter 2. The Memristor: Theory and Realization
Abstract
Memristor is a two-terminal passive element. Even though the behavior of the memristor was investigated for two centuries ago, the concept of the memristor as the fourth circuit element was proposed by Leon Chua in 1971 (Prodromakis et al. in Nat Mater 11:478–481, [1]).
Fadhil Rahma, Saif Muneam
Chapter 3. Memristive Electronic Circuits
Abstract
The researchers are looking for increasing the complexity of behavior while keeping the systems as simple as possible. The chaotic systems that have multi-scrolls attractors give more complex behaviors compared to chaotic systems of double scrolls. Generation of multi-scroll chaotic attractor is described in dynamical systems, and this can be shown in several applications such as encoding the fingerprint image, secure communication, dominating motion trends of autonomous mobile robots, encoding medical image, and procreating pseudo-random number (PRN).
Fadhil Rahma, Saif Muneam
Chapter 4. Synchronization of Memristive Electronic Circuits
Abstract
The synchronization between nonlinear electronic circuits is not reachable, because these circuits are extremely sensitive to initial conditions. Pecora and Carroll (PC), in 1990 was synchronized two chaotic circuits with different initial conditions.
Fadhil Rahma, Saif Muneam
Chapter 5. Cryptography Based on Memristive Electronic Circuits
Abstract
Cryptography is the science that uses the calculation and math behind the procedures to encrypt and decrypt data. The process that is used to convert the message (text, picture, sound, and video) into cipher message is known as encryption. The encryption algorithm is used to encrypt a message at the transmitter, while the decryption algorithm is applied to decrypt the received encrypted message. In a cryptosystem, the synchronization of the transmitter and receiver sides has to be secured. One can use a key during encryption and decryption process.
Fadhil Rahma, Saif Muneam
Chapter 6. Conclusions and Future Works
Abstract
The main goal of this book is to propose the memristor model and investigate its characteristics. The proposed memristor model requires less components for implementing its electronic circuit as compared to the proposed models in the research literature. The electronic circuit based on the proposed memristive systems is realized. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The circuits have been implemented using current feedback operational amplifier (CFOA), so that they are suitable for high-frequency nonlinear oscillations. Good agreement between simulations results and the experimental observation has been found.
Fadhil Rahma, Saif Muneam
Metadata
Title
Memristive Nonlinear Electronic Circuits
Authors
Ph.D. Fadhil Rahma
Saif Muneam
Copyright Year
2019
Electronic ISBN
978-3-030-11921-8
Print ISBN
978-3-030-11920-1
DOI
https://doi.org/10.1007/978-3-030-11921-8