Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iii. Chaos: Chua's Circuit And Complex Nonlinear Phenomena

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Publisher : World Scientific
ISBN 13 : 981121591X
Total Pages : 244 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iii. Chaos: Chua's Circuit And Complex Nonlinear Phenomena by : Leon O Chua

Download or read book Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iii. Chaos: Chua's Circuit And Complex Nonlinear Phenomena written by Leon O Chua and published by World Scientific. This book was released on 2020-08-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume III — presents an overview of the fascinating phenomenon called chaos, while immersing the audience with the sights and sound of chaos from the Chua Circuit, invented in 1984 by Leon Chua, and has now become the standard textbook example of chaos exhibited by a real nonlinear electronic circuit, and not by computer simulations.

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes)

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Publisher : World Scientific
ISBN 13 : 9811228930
Total Pages : 1008 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes) by : Leon O Chua

Download or read book Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes) written by Leon O Chua and published by World Scientific. This book was released on 2020-08-19 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume I — covers everything that a researcher may want to know about memristors but is too afraid to ask.Volume II — shows that memristors can be either volatile or non-volatile, and effectively proving that synapses are non-volatile memristors, while action potentials are generated by locally-active memristors.Volume III — presents an overview of the fascinating phenomenon called chaos, while immersing the audience with the sights and sound of chaos from the Chua Circuit, invented in 1984 by Leon Chua, and has now become the standard textbook example of chaos exhibited by a real nonlinear electronic circuit, and not by computer simulations.Volume IV — surprises the audience with a new law of nature — dubbed the local activity principle, as discovered and proved mathematically in 1996 by Leon Chua. In particular, a Corollary of Chua's local activity theorem, dubbed the edge of chaos, is shown via insightful examples to be the originator of most complex phenomena, including intelligence, creativity, and deep learning. The edge of chaos is Mother Nature's tool for overcoming the tyranny of the second law of thermodynamics by providing an escape hatch for entropy to decrease over time. Indeed, the local activity principle which is profusely illustrated in the final volume, is widely recognized as a new law of thermodynamics, and is identified as the sine qua non of all complex phenomena, including life itself.Exclusive Access to the accompanying Video and Audio materials comes with the purchase of this book.

The Chua Lectures

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Author :
Publisher :
ISBN 13 : 9789811215414
Total Pages : 1008 pages
Book Rating : 4.2/5 (154 download)

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Book Synopsis The Chua Lectures by : Leon O. Chua

Download or read book The Chua Lectures written by Leon O. Chua and published by . This book was released on 2020 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. I. Memristors : new circuit element with memory -- vol. II. Memristors and CNN : the right stuff for AI and brain-like computers -- vol. III. Chaos : Chua's circuit and complex nonlinear phenomena -- vol. IV. Local activity principle : Chua's riddle, Turing machine, and universal computing rule 137.

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iv. Local Activity Principle: Chua's Riddle, Turing Machine, And Universal Computing Rule 137

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Publisher : World Scientific
ISBN 13 : 9811215928
Total Pages : 300 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iv. Local Activity Principle: Chua's Riddle, Turing Machine, And Universal Computing Rule 137 by : Leon O Chua

Download or read book Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Iv. Local Activity Principle: Chua's Riddle, Turing Machine, And Universal Computing Rule 137 written by Leon O Chua and published by World Scientific. This book was released on 2020-08-19 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume IV — surprises the audience with a new law of nature — dubbed the local activity principle, as discovered and proved mathematically in 1996 by Leon Chua. In particular, a Corollary of Chua's local activity theorem, dubbed the edge of chaos, is shown via insightful examples to be the originator of most complex phenomena, including intelligence, creativity, and deep learning. The edge of chaos is Mother Nature's tool for overcoming the tyranny of the second law of thermodynamics by providing an escape hatch for entropy to decrease over time. Indeed, the local activity principle which is profusely illustrated in the final volume, is widely recognized as a new law of thermodynamics, and is identified as the sine qua non of all complex phenomena, including life itself.

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Ii. Memristors And Cnn: The Right Stuff For Ai And Brain-like Computers

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Author :
Publisher : World Scientific
ISBN 13 : 9811215901
Total Pages : 248 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Ii. Memristors And Cnn: The Right Stuff For Ai And Brain-like Computers by : Leon O Chua

Download or read book Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume Ii. Memristors And Cnn: The Right Stuff For Ai And Brain-like Computers written by Leon O Chua and published by World Scientific. This book was released on 2020-08-19 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume II — shows that memristors can be either volatile or non-volatile, and effectively proving that synapses are non-volatile memristors, while action potentials are generated by locally-active memristors.

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory

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Publisher : World Scientific
ISBN 13 : 9811215898
Total Pages : 216 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory by : Leon O Chua

Download or read book Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory written by Leon O Chua and published by World Scientific. This book was released on 2020-08-19 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume I — covers everything that a researcher may want to know about memristors but is too afraid to ask.

Chua's Circuit: A Paradigm For Chaos

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Publisher : World Scientific
ISBN 13 : 9814504319
Total Pages : 1089 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 1089 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.

Cellular Neural Networks, Multi-scroll Chaos and Synchronization

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Publisher : World Scientific
ISBN 13 : 9812561617
Total Pages : 248 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Cellular Neural Networks, Multi-scroll Chaos and Synchronization by : M?tak E. Yal‡in

Download or read book Cellular Neural Networks, Multi-scroll Chaos and Synchronization written by M?tak E. Yal‡in and published by World Scientific. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, HV synchronization, time-delayed systems and impulsive synchronization.

A Practical Guide for Studying Chua's Circuits

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Publisher : World Scientific
ISBN 13 : 9814291145
Total Pages : 219 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis A Practical Guide for Studying Chua's Circuits by : Recai Kilic

Download or read book A Practical Guide for Studying Chua's Circuits written by Recai Kilic and published by World Scientific. This book was released on 2010 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Gallery of Chua Attractors

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Publisher : World Scientific
ISBN 13 : 9812790624
Total Pages : 607 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis A Gallery of Chua Attractors by : Eleonora Bilotta

Download or read book A Gallery of Chua Attractors written by Eleonora Bilotta and published by World Scientific. This book was released on 2008 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) — a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 “chaotic attractors” — some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations — are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007).

Chaos in Nonlinear Oscillators

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Publisher : World Scientific
ISBN 13 : 9789810221430
Total Pages : 346 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Chaos in Nonlinear Oscillators by : Muthusamy Lakshmanan

Download or read book Chaos in Nonlinear Oscillators written by Muthusamy Lakshmanan and published by World Scientific. This book was released on 1996 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.

Nonlinear Dynamics in Circuits

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Publisher : World Scientific
ISBN 13 : 9789810224387
Total Pages : 352 pages
Book Rating : 4.2/5 (243 download)

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Book Synopsis Nonlinear Dynamics in Circuits by : Thomas L. Carroll

Download or read book Nonlinear Dynamics in Circuits written by Thomas L. Carroll and published by World Scientific. This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance. The circuit experiments that are described are mostly easy and inexpensive to reproduce, and yet these experiments come from the forefront of nonlinear dynamics research. The individual chapters describe why analog circuits are so useful for studying nonlinear dynamics, and include theoretical as well as experimental results from some of the leading researchers in the field. Most of the articles contain some tutorial sections for the less experienced readers.The audience for this book includes researchers in nonlinear dynamics, chaos and statistical physics as well as electrical engineering, and graduate and advanced undergraduate students in these fields.

Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems

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Publisher : World Scientific
ISBN 13 : 9812814043
Total Pages : 208 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems by : Riccardo Caponetto

Download or read book Advanced Topics on Cellular Self-organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems written by Riccardo Caponetto and published by World Scientific. This book was released on 2008 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the research topics investigated during the three-year research project funded by the Italian Ministero dell'Istruzione, dell'Universit e della Ricerca (MIUR: Ministry of Education, University and Research) under the FIRB project RBNE01CW3M. With the aim of introducing newer perspectives of the research on complexity, the final results of the project are presented after a general introduction to the subject. The book is intended to provide researchers, PhD students, and people involved in research projects in companies with the basic fundamentals of complex systems and the advanced project results recently obtained.

Memristor-Based Nanoelectronic Computing Circuits and Architectures

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Publisher : Springer
ISBN 13 : 3319226479
Total Pages : 263 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Memristor-Based Nanoelectronic Computing Circuits and Architectures by : Ioannis Vourkas

Download or read book Memristor-Based Nanoelectronic Computing Circuits and Architectures written by Ioannis Vourkas and published by Springer. This book was released on 2015-08-26 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the design and development of nanoelectronic computing circuits, systems and architectures focusing particularly on memristors, which represent one of today’s latest technology breakthroughs in nanoelectronics. The book studies, explores, and addresses the related challenges and proposes solutions for the smooth transition from conventional circuit technologies to emerging computing memristive nanotechnologies. Its content spans from fundamental device modeling to emerging storage system architectures and novel circuit design methodologies, targeting advanced non-conventional analog/digital massively parallel computational structures. Several new results on memristor modeling, memristive interconnections, logic circuit design, memory circuit architectures, computer arithmetic systems, simulation software tools, and applications of memristors in computing are presented. High-density memristive data storage combined with memristive circuit-design paradigms and computational tools applied to solve NP-hard artificial intelligence problems, as well as memristive arithmetic-logic units, certainly pave the way for a very promising memristive era in future electronic systems. Furthermore, these graph-based NP-hard problems are solved on memristive networks, and coupled with Cellular Automata (CA)-inspired computational schemes that enable computation within memory. All chapters are written in an accessible manner and are lavishly illustrated. The book constitutes an informative cornerstone for young scientists and a comprehensive reference to the experienced reader, hoping to stimulate further research on memristive devices, circuits, and systems.

Chaos in Circuits and Systems

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Publisher : World Scientific
ISBN 13 : 9810249330
Total Pages : 656 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Chaos in Circuits and Systems by : Guanrong Chen

Download or read book Chaos in Circuits and Systems written by Guanrong Chen and published by World Scientific. This book was released on 2002 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.

Visions of Nonlinear Science in the 21st Century

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Publisher : World Scientific
ISBN 13 : 9789810233372
Total Pages : 874 pages
Book Rating : 4.2/5 (333 download)

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Book Synopsis Visions of Nonlinear Science in the 21st Century by : Jose L. Huertas

Download or read book Visions of Nonlinear Science in the 21st Century written by Jose L. Huertas and published by World Scientific. This book was released on 1999 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science. It has been painstakingly researched and written by leading scientists and eminent expositors, including L Shilnikov, R Seydel, I Prigogine, W Porod, C Mira, M Lakshmanan, W Lauterborn, A Holden, H Haken, C Grebogi, E Doedel and L Chua; each chapter addresses a current and intensively researched area of nonlinear science and chaos, including nonlinear dynamics, mathematics, numerics and technology. Handsomely produced with high resolution color graphics for enhanced readability, this book has been carefully written at a high level of exposition and is somewhat self-contained. Each chapter includes a tutorial and background information, as well as a survey of each area's main results and state of the art. Of special interest to both beginners and seasoned researchers is the identification of future trends and challenging yet tractable problems thatare likely,to be solved before the end of the 21st century. The visionary and provocative nature of this book makes it a valuable and lasting reference.

On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor

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Publisher : Springer
ISBN 13 : 3319174916
Total Pages : 244 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor by : Ahmed G. Radwan

Download or read book On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor written by Ahmed G. Radwan and published by Springer. This book was released on 2015-05-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic fundamentals, models, emulators and analyses of mem-elements in the circuit theory with applications. The book starts reviewing the literature on mem-elements, models and their recent applications. It presents mathematical models, numerical results, circuit simulations, and experimental results for double-loop hysteresis behavior of mem-elements. The authors introduce a generalized memristor model in the fractional-order domain under different input and different designs for emulator-based mem-elements, with circuit and experimental results. The basic concept of memristive-based relaxation-oscillators in the circuit theory is also covered. The reader will moreover find in this book information on memristor-based multi-level digital circuits, memristor-based multi-level multiplier and memcapacitor-based oscillators and synaptic circuits.