Chua's Circuit Implementations: Yesterday, Today And Tomorrow


Book Description

Since the birth of the Chua circuit in 1983, a considerable number of fruitful, fascinating and relevant research topics have arisen. In honor of the 25th anniversary of the invention of Chua's circuit, this book presents the 25 years of research on the implementation of Chua's circuit, and also discusses future directions and emerging applications of recent results.The purpose of the book is to provide researchers, PhD students, and undergraduate students a research monograph containing both fundamentals on the topics and advanced results that have been recently obtained. With about 60 illustrations included in the book, it also shows the detailed schematics of several different implementations that can be easily reproduced with a low-cost experimental setup and PC-based measurement instrumentation.




A Concise Guide to Chaotic Electronic Circuits


Book Description

This brief provides a source of instruction from which students can be taught about the practicalities of designing and using chaotic circuits. The text provides information on suitable materials, circuit design and schemes for design realization. Readers are then shown how to reproduce experiments on chaos and to design new ones. The text guides the reader easily from the basic idea of chaos to the laboratory test providing an experimental basis that can be developed for such applications as secure communications. This brief provides introductory information on sample chaotic circuits, includes coverage of their development, and the “gallery” section provides information on a wide range of circuits. Concise Guide to Chaotic Electronic Circuits will be useful to anyone running a laboratory class involving chaotic circuits and to students wishing to learn about them.




Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta)


Book Description

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first — cellular nonlinear networks, nonlinear circuits and cellular automata — deals with Chua's Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua's circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua's views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into ‘ancient memristors’, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book.The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua's circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike.




A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science


Book Description

Ch. 1. Isles of Eden. 1. Recap of main results from parts I to VI. 1.1. Local rules and Boolean cubes. 1.2. Threshold of complexity. 1.3. Only 88 local rules are independent. 1.4. Robust characterization of 70 independent local rules. 2. Basin tree diagrams of ten complex Bernoulli shift rules. 2.1. Basin of attraction and basin trees. 2.2. Garden of Eden. 2.3. Isle of Eden. 2.4. Gallery of basin tree diagrams. 3. Global analysis of local rule 90. 3.1. Ru1e 90 has no Isle of Eden. 3.2. Period of Rule 90 grows with L. 3.3. Global state-transition formula for rule 90. 3.4. Periodicity constraints of rule 90. 4. Global analysis of local rules 150 and 105. 4.1. Rules 150 and 105 are composed of Isles of Eden if L is not divisible by 3. 4.2. Global state-transition formula for rules 150 and 105. 4.3. Rules 150 and 105 are globally quasi-equivalent. 5. Concluding remarks -- ch. 2. More Isles of Eden. 1. The beginning of the end. 2. Basin tree diagrams of eight hyper Bernoulli shift rules. 2.1. Highlights from rule 26. 2.2. Highlights from rule 30. 2.3. Highlights from rule 41. 2.4. Highlights from rule 45. 2.5. Highlights from rule 60. 2.6. Highlights from rule 106. 2.7. Highlights from rule 110. 2.8. Highlights from rule 154. 3. Global analysis of local rule 60. 3.1. Rule 60 has no Isles of Eden. 3.2. Period of rule 60 grows with L. 3.3. Global state-transition formula for rule 60. 3.4. Periodicity constraints of rule 60. 4. Global analysis of local rule 154 and 45. 5. Dense Isles-of-Eden property. 5.1. Notations and definitions. 5.2. Four basic lemmas. 5.3. Locating points with multiple preimages. 5.4. Constructing the Isles of Eden digraph. 5.5. The full Isles of Eden digraph. 5.6. Nondegenerate cycles and Isles of Eden. 5.7. Effect of global equivalence transformations on Isles of Eden digraphs. 5.8. Dense Isles of Eden from rule 45 and rule 154. 5.9. Dense Isles of Eden from rule 105 and rule 150. 5.10. Gallery of Isles of Eden digraphs of eight representative local rules. 6. Concluding remarks




A Practical Guide for Studying Chua's Circuits


Book Description

Autonomous and nonautonomous Chua''s circuits are of special significance in the study of chaotic system modeling, chaos-based science and engineering applications. Since hardware and software-based design and implementation approaches can be applied to Chua''s circuits, these circuits are also excellent educative models for studying and experimenting nonlinear dynamics and chaos. This book not only presents a collection of the author''s published papers on design, simulation and implementation of Chua''s circuits, it also provides a systematic approach to practising chaotic dynamics.







Chua's Circuit: A Paradigm For Chaos


Book Description

For uninitiated researchers, engineers, and scientists interested in a quick entry into the subject of chaos, this book offers a timely collection of 55 carefully selected papers covering almost every aspect of this subject. Because Chua's circuit is endowed with virtually every bifurcation phenomena reported in the extensive literature on chaos, and because it is the only chaotic system which can be easily built by a novice, simulated in a personal computer, and tractable mathematically, it has become a paradigm for chaos, and a vehicle for illustrating this ubiquitous phenomenon. Its supreme simplicity and robustness has made it the circuit of choice for generating chaotic signals for practical applications.In addition to the 48 illuminating papers drawn from a recent two-part Special Issue (March and June, 1993) of the Journal of Circuits, Systems, and Computers devoted exclusively to Chua's circuit, several highly illustrative tutorials and incisive state-of-the-art reviews on the latest experimental, computational, and analytical investigations on chaos are also included. To enhance its pedagogical value, a diskette containing a user-friendly software and data base on many basic chaotic phenomena is attached to the book, as well as a gallery of stunningly colorful strange attractors.Beginning with an elementary (freshman-level physics) introduction on experimental chaos, the book presents a step-by-step guided tour, with papers of increasing complexity, which covers almost every conceivable aspects of bifurcation and chaos. The second half of the book contains many original materials contributed by world-renowned authorities on chaos, including L P Shil'nikov, A N Sharkovsky, M Misiurewicz, A I Mees, R Lozi, L O Chua and V S Afraimovich.The scope of topics covered is quite comprehensive, including at least one paper on each of the following topics: routes to chaos, 1-D maps, universality, self-similarity, 2-parameter renormalization group analysis, piecewise-linear dynamics, slow-fast dynamics, confinor analysis, symmetry breaking, strange attractors, basins of attraction, geometric invariants, time-series reconstruction, Lyapunov exponents, bispectral analysis, homoclinic bifurcation, stochastic resonance, synchronization, and control of chaos, as well as several novel applications of chaos, including secure communications, visual sensing, neural networks, dry turbulence, nonlinear waves and music.




Control Of Chaos In Nonlinear Circuits And Systems


Book Description

In this book, leading researchers present their current work in the challenging area of chaos control in nonlinear circuits and systems, with emphasis on practical methodologies, system design techniques and applications. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this area. The scope and aim of this book are to bridge the gap between chaos control methods and circuits and systems. It is an ideal starting point for anyone who needs a fundamental understanding of controlling chaos in nonlinear circuits and systems.




Neural Information Processing and VLSI


Book Description

Neural Information Processing and VLSI provides a unified treatment of this important subject for use in classrooms, industry, and research laboratories, in order to develop advanced artificial and biologically-inspired neural networks using compact analog and digital VLSI parallel processing techniques. Neural Information Processing and VLSI systematically presents various neural network paradigms, computing architectures, and the associated electronic/optical implementations using efficient VLSI design methodologies. Conventional digital machines cannot perform computationally-intensive tasks with satisfactory performance in such areas as intelligent perception, including visual and auditory signal processing, recognition, understanding, and logical reasoning (where the human being and even a small living animal can do a superb job). Recent research advances in artificial and biological neural networks have established an important foundation for high-performance information processing with more efficient use of computing resources. The secret lies in the design optimization at various levels of computing and communication of intelligent machines. Each neural network system consists of massively paralleled and distributed signal processors with every processor performing very simple operations, thus consuming little power. Large computational capabilities of these systems in the range of some hundred giga to several tera operations per second are derived from collectively parallel processing and efficient data routing, through well-structured interconnection networks. Deep-submicron very large-scale integration (VLSI) technologies can integrate tens of millions of transistors in a single silicon chip for complex signal processing and information manipulation. The book is suitable for those interested in efficient neurocomputing as well as those curious about neural network system applications. It has been especially prepared for use as a text for advanced undergraduate and first year graduate students, and is an excellent reference book for researchers and scientists working in the fields covered.




Radioengineering


Book Description