Practical Numerical Algorithms For Chaotic Systems

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Practical Numerical Algorithms for Chaotic Systems

Author : Thomas S. Parker
Publisher : Springer Science & Business Media
ISBN 13 : 1461234867
Total Pages : 354 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Practical Numerical Algorithms for Chaotic Systems by : Thomas S. Parker

Download or read book Practical Numerical Algorithms for Chaotic Systems written by Thomas S. Parker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.

Practical Numerical Algorithms for Chaotic Systems

Author : Thomas S Parker
Publisher :
ISBN 13 : 9781461234876
Total Pages : 368 pages
Book Rating : 4.2/5 (348 download)

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Book Synopsis Practical Numerical Algorithms for Chaotic Systems by : Thomas S Parker

Download or read book Practical Numerical Algorithms for Chaotic Systems written by Thomas S Parker and published by . This book was released on 1989-08-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Construction of Arithmetical Meanings and Strategies

Author : Leslie Steffe
Publisher : Springer
ISBN 13 : 9780387966885
Total Pages : 343 pages
Book Rating : 4.9/5 (668 download)

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Book Synopsis Construction of Arithmetical Meanings and Strategies by : Leslie Steffe

Download or read book Construction of Arithmetical Meanings and Strategies written by Leslie Steffe and published by Springer. This book was released on 1987-12-18 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The studies presented in this book should be of interest to anybody concerned with the teaching of arithmetic to young children or with cognitive development in general. The 'eaching experiment· was carried out with half a dozen children entering first grade over two years in biweekly sessions. Methodologically the authors' research is original. It is a longitudinal but not a naturalistic study, since the experimenter-teachers directed their interaction with each individual child with a view to his or her possible progress. It is experimental in the sense that two groups of subjects were selected according to criteria derived from an earlier study (Steffe, von Glasersfeld, Richards & Cobb, 1983) and that the problems proposed were comparable, though far from identical across the subjects; but unlike more rigid and shorter "learning" or ''training" studies it does not include pre-and posttests, or predetermined procedures. Theoretically, the authors subscribe to Piagefs constructivism: numbers are made by children, not found (as they may find some pretty rocks, for example) or accepted from adults (as they may accept and use a toy). The authors interpret changes in the children's counting behaviors in terms of constructivist concepts such as assimilation, accommodation, and reflective abstraction, and certain excerpts from protocols provide on-line examples of such processes at work. They also subscribe to Vygotsky's proposal for teachers '0 utilize the zone of proximal development and to lead the child to what he (can) not yet do· (1965, p. 104).

Practical Bifurcation and Stability Analysis

Author : Rüdiger Seydel
Publisher : Springer Science & Business Media
ISBN 13 : 144191739X
Total Pages : 493 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Practical Bifurcation and Stability Analysis by : Rüdiger Seydel

Download or read book Practical Bifurcation and Stability Analysis written by Rüdiger Seydel and published by Springer Science & Business Media. This book was released on 2009-12-14 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization

Author : Esteban Tlelo-Cuautle
Publisher : CRC Press
ISBN 13 : 100034665X
Total Pages : 267 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization by : Esteban Tlelo-Cuautle

Download or read book Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization written by Esteban Tlelo-Cuautle and published by CRC Press. This book was released on 2021-05-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characteristics can be optimized applying metaheuristics, which basically consists of varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGA), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits. The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy. Single and multi-objective optimization approaches applying metaheuristics are described, as well as their tuning techniques to generate feasible solutions that are suitable for electronic implementation. The book details several applications of chaotic oscillators such as in random bit/number generators, cryptography, secure communications, robotics, and Internet of Things.

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization

Author : Esteban Tlelo-Cuautle
Publisher : CRC Press
ISBN 13 : 9780367486686
Total Pages : 266 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization by : Esteban Tlelo-Cuautle

Download or read book Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization written by Esteban Tlelo-Cuautle and published by CRC Press. This book was released on 2021 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: "CRC Press is an imprint of the Taylor & Francis Group, an Informa business."

Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications

Author : Christos Volos
Publisher : Academic Press
ISBN 13 : 0128232021
Total Pages : 570 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications by : Christos Volos

Download or read book Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications written by Christos Volos and published by Academic Press. This book was released on 2021-06-17 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications illustrates recent advances in the field of mem-elements (memristor, memcapacitor, meminductor) and their applications in nonlinear dynamical systems, computer science, analog and digital systems, and in neuromorphic circuits and artificial intelligence. The book is mainly devoted to recent results, critical aspects and perspectives of ongoing research on relevant topics, all involving networks of mem-elements devices in diverse applications. Sections contribute to the discussion of memristive materials and transport mechanisms, presenting various types of physical structures that can be fabricated to realize mem-elements in integrated circuits and device modeling. As the last decade has seen an increasing interest in recent advances in mem-elements and their applications in neuromorphic circuits and artificial intelligence, this book will attract researchers in various fields. Covers a broad range of interdisciplinary topics between mathematics, circuits, realizations, and practical applications related to nonlinear dynamical systems, nanotechnology, analog and digital systems, computer science and artificial intelligence Presents recent advances in the field of mem-elements (memristor, memcapacitor, meminductor) Includes interesting applications of mem-elements in nonlinear dynamical systems, analog and digital systems, neuromorphic circuits, computer science and artificial intelligence

Advances and Applications in Chaotic Systems

Author : Sundarapandian Vaidyanathan
Publisher : Springer
ISBN 13 : 3319302795
Total Pages : 600 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances and Applications in Chaotic Systems by : Sundarapandian Vaidyanathan

Download or read book Advances and Applications in Chaotic Systems written by Sundarapandian Vaidyanathan and published by Springer. This book was released on 2016-03-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the latest advances and applications of chaotic systems. It consists of 25 contributed chapters by experts who are specialized in the various topics addressed in this book. The chapters cover a broad range of topics of chaotic systems such as chaos, hyperchaos, jerk systems, hyperjerk systems, conservative and dissipative systems, circulant chaotic systems, multi-scroll chaotic systems, finance chaotic system, highly chaotic systems, chaos control, chaos synchronization, circuit realization and applications of chaos theory in secure communications, mobile robot, memristors, cellular neural networks, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in chaos theory. This book will serve as a reference book for graduate students and researchers with a basic knowledge of chaos theory and control systems. The resulting design procedures on the chaotic systems are emphasized using MATLAB software.

Chaos in Electric Drive Systems

Author : K. T. Chau
Publisher : John Wiley & Sons
ISBN 13 : 0470828366
Total Pages : 336 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Chaos in Electric Drive Systems by : K. T. Chau

Download or read book Chaos in Electric Drive Systems written by K. T. Chau and published by John Wiley & Sons. This book was released on 2011-03-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chaos in Electric Drive Systems: Analysis, Control and Application authors Chau and Wang systematically introduce an emerging technology of electrical engineering that bridges abstract chaos theory and practical electric drives. The authors consolidate all important information in this interdisciplinary technology, including the fundamental concepts, mathematical modeling, theoretical analysis, computer simulation, and hardware implementation. The book provides comprehensive coverage of chaos in electric drive systems with three main parts: analysis, control and application. Corresponding drive systems range from the simplest to the latest types: DC, induction, synchronous reluctance, switched reluctance, and permanent magnet brushless drives. The first book to comprehensively treat chaos in electric drive systems Reviews chaos in various electrical engineering technologies and drive systems Presents innovative approaches to stabilize and stimulate chaos in typical drives Discusses practical application of chaos stabilization, chaotic modulation and chaotic motion Authored by well-known scientists in the field Lecture materials available from the book's companion website This book is ideal for researchers and graduate students who specialize in electric drives, mechatronics, and electric machinery, as well as those enrolled in classes covering advanced topics in electric drives and control. Engineers and product designers in industrial electronics, consumer electronics, electric appliances and electric vehicles will also find this book helpful in applying these emerging techniques. Lecture materials for instructors available at www.wiley.com/go/chau_chaos

Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications

Author : Esteban Tlelo-Cuautle
Publisher : Springer Nature
ISBN 13 : 303031250X
Total Pages : 212 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications by : Esteban Tlelo-Cuautle

Download or read book Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications written by Esteban Tlelo-Cuautle and published by Springer Nature. This book was released on 2019-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electronic devices, and to perform hardware descriptions of integer/fractional-order chaotic systems programming in VHDL. Finally, several engineering applications oriented to cryptography, internet of things, robotics and chaotic communications, are detailed to highlight the usefulness of FPAA/FPGA based integer/fractional-order chaotic systems. Provides guidelines to implement fractional-order derivatives using commercially available devices; Describes details on using FPAAs to approach fractional-order chaotic systems; Includes details on using FPGAs to approach fractional-order chaotic systems, programming in VHDL and reducing hardware resources; Discusses applications to cryptography, internet of things, robotics and chaotic communications.

Electronic Design Automation of Multi-scroll Chaos Generators

Author : Jesus Manuel Muñoz Pacheco
Publisher : Bentham Science Publishers
ISBN 13 : 160805165X
Total Pages : 95 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Electronic Design Automation of Multi-scroll Chaos Generators by : Jesus Manuel Muñoz Pacheco

Download or read book Electronic Design Automation of Multi-scroll Chaos Generators written by Jesus Manuel Muñoz Pacheco and published by Bentham Science Publishers. This book was released on 2010-11-29 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is unique when compared with books on non-linear circuits and systems. The book introduces novel concepts of physics, computer and electrical engineering. The synthesis of Multi-scroll chaotic oscillators is performed through three hierarchical "

Proceedings of the Estonian Academy of Sciences, Physics and Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4./5 ( download)

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Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :

Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 2002-09 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Predictability of Chaotic Dynamics

Author : Juan C. Vallejo
Publisher : Springer
ISBN 13 : 3319518933
Total Pages : 136 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Predictability of Chaotic Dynamics by : Juan C. Vallejo

Download or read book Predictability of Chaotic Dynamics written by Juan C. Vallejo and published by Springer. This book was released on 2017-03-27 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily concerned with the computational aspects of predictability of dynamical systems – in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Hénon-Heiles and Rössler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Author : Remco I. Leine
Publisher : Springer Science & Business Media
ISBN 13 : 3540443983
Total Pages : 245 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Dynamics and Bifurcations of Non-Smooth Mechanical Systems by : Remco I. Leine

Download or read book Dynamics and Bifurcations of Non-Smooth Mechanical Systems written by Remco I. Leine and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Chua's Circuit: A Paradigm for Chaos

Author : Rabinder N Madan
Publisher : World Scientific
ISBN 13 : 9814504319
Total Pages : 1088 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Chua's Circuit: A Paradigm for Chaos by : Rabinder N Madan

Download or read book Chua's Circuit: A Paradigm for Chaos written by Rabinder N Madan and published by World Scientific. This book was released on 1993-11-20 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents:Bifurcation PhenomenaResonance, Synchronization, and WavesApplications of Chua's CircuitControlling ChaosOne-Dimensional Poincaré Maps From Chua's CircuitStrange AttractorsPiecewise-Linear AnalysisTime Series AnalysisGeneralizations of Chua's Circuit Readership: Physicists, biologists, mathematicians, chemists, engineers and researchers on nonlinear science. keywords:

Adaptive and Natural Computing Algorithms

Author : Andrej Dobnikar
Publisher : Springer
ISBN 13 : 3642202675
Total Pages : 418 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Adaptive and Natural Computing Algorithms by : Andrej Dobnikar

Download or read book Adaptive and Natural Computing Algorithms written by Andrej Dobnikar and published by Springer. This book was released on 2011-04-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 6593 and 6594 constitutes the refereed proceedings of the 10th International Conference on Adaptive and Natural Computing Algorithms, ICANNGA 2010, held in Ljubljana, Slovenia, in April 2010. The 83 revised full papers presented were carefully reviewed and selected from a total of 144 submissions. The second volume includes 41 papers organized in topical sections on pattern recognition and learning, soft computing, systems theory, support vector machines, and bioinformatics.

A Short History of Circuits and Systems

Author : Franco Maloberti
Publisher : CRC Press
ISBN 13 : 1000794350
Total Pages : 343 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis A Short History of Circuits and Systems by : Franco Maloberti

Download or read book A Short History of Circuits and Systems written by Franco Maloberti and published by CRC Press. This book was released on 2022-09-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an overview of major scientific discoveries of the 18th and 19th centuries, which created electrical science as we know and understand it and led to its useful applications in energy conversion, transmission, manufacturing industry and communications, this Circuits and Systems History book fills a gap in published literature by providing a record of the many outstanding scientists, mathematicians and engineers who laid the foundations of Circuit Theory and Filter Design from the mid-20th Century. Additionally, the book records the history of the IEEE Circuits and Systems Society from its origins as the small Circuit Theory Group of the Institute of Radio Engineers (IRE), which merged with the American Institute of Electrical Engineers (AIEE) to form IEEE in 1963, to the large and broad-coverage worldwide IEEE Society which it is today.Many authors from many countries contributed to the creation of this book, working to a very tight time-schedule. The result is a substantial contribution to their enthusiasm and expertise which it is hoped that readers will find both interesting and useful. It is sure that in such a book omissions will be found and in the space and time available, much valuable material had to be left out. It is hoped that this book will stimulate an interest in the marvellous heritage and contributions that have come from the many outstanding people who worked in the Circuits and Systems area.