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Author: Julien Clinton Sprott
Publisher: World Scientific
ISBN: 9811240019
Category : Science
Languages : en
Pages : 357
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Book Description
Chaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos.This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains.You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.
Author: Julien Clinton Sprott
Publisher: World Scientific
ISBN: 9811240019
Category : Science
Languages : en
Pages : 357
Get Book Here
Book Description
Chaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos.This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains.You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.
Author: Julien C. Sprott
Publisher: World Scientific
ISBN: 9812838821
Category : Mathematics
Languages : en
Pages : 302
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Book Description
1. Fundamentals. 1.1. Dynamical systems. 1.2. State space. 1.3. Dissipation. 1.4. Limit cycles. 1.5. Chaos and strange attractors. 1.6. Poincaré sections and fractals. 1.7. Conservative chaos. 1.8. Two-toruses and quasiperiodicity. 1.9. Largest Lyapunov exponent. 1.10. Lyapunov exponent spectrum. 1.11. Attractor dimension. 1.12. Chaotic transients. 1.13. Intermittency. 1.14. Basins of attraction. 1.15. Numerical methods. 1.16. Elegance -- 2. Periodically forced systems. 2.1. Van der Pol oscillator. 2.2. Rayleigh oscillator. 2.3. Rayleigh oscillator variant. 2.4. Duffing oscillator. 2.5. Quadratic oscillators. 2.6. Piecewise-linear oscillators. 2.7. Signum oscillators. 2.8. Exponential oscillators. 2.9. Other undamped oscillators. 2.10. Velocity forced oscillators. 2.11. Parametric oscillators. 2.12. Complex oscillators -- 3. Autonomous dissipative systems. 3.1. Lorenz system. 3.2. Diffusionless Lorenz system. 3.3. Rs̈sler system. 3.4. Other quadratic systems. 3.5. Jerk systems. 3.6. Circulant systems. 3.7. Other systems -- 4. Autonomous Conservative Systems. 4.1. Nosé-Hoover oscillator. 4.2. Nosé-Hoover variants. 4.3. Jerk systems. 4.4. Circulant systems -- 5. Low-dimension systems (D3). 5.1. Dixon system. 5.2. Dixon variants. 5.3. Logarithmic case. 5.4. Other cases -- 6. High-dimensional systems (D3). 6.1. Periodically forced systems. 6.2. Master-slave oscillators. 6.3. Mutually coupled nonlinear oscillators. 6.4. Hamiltonian systems. 6.5. Anti-Newtonian systems. 6.6. Hyperjerk systems. 6.7. Hyperchaotic systems. 6.8. Autonomous complex systems. 6.9. Lotka-Volterra systems. 6.10. Artificial neural networks -- 7. Circulant systems. 7.1. Lorenz-Emanuel system. 7.2. Lotka-Volterra systems. 7.3. Antisymmetric quadratic system. 7.4. Quadratic ring system. 7.5. Cubic ring system. 7.6. Hyperlabyrinth system. 7.7. Circulant neural networks. 7.8. Hyperviscous ring. 7.9. Rings of oscillators. 7.10. Star systems -- 8. Spatiotemporal systems. 8.1. Numerical methods. 8.2. Kuramoto-Sivashinsky equation. 8.3. Kuramoto-Sivashinsky variants. 8.4. Chaotic traveling waves. 8.5. Continuum ring systems. 8.6. Traveling wave variants -- 9. Time-delay systems. 9.1. Delay differential equations. 9.2. Mackey-Glass equation. 9.3. Ikeda DDE. 9.4. Sinusoidal DDE. 9.5. Polynomial DDE. 9.6. Sigmoidal DDE. 9.7. Signum DDE. 9.8. Piecewise-linear DDEs. 9.9. Asymmetric logistic DDE with continuous delay -- 10. Chaotic electrical circuits. 10.1. Circuit elegance. 10.2. Forced relaxation oscillator. 10.3. Autonomous relaxation oscillator. 10.4. Coupled relaxation oscillators. 10.5. Forced diode resonator. 10.6. Saturating inductor circuit. 10.7. Forced piecewise-linear circuit. 10.8. Chua's circuit. 10.9. Nishio's circuit. 10.10. Wien-bridge oscillator. 10.11. Jerk circuits. 10.12. Master-slave oscillator. 10.13. Ring of oscillators. 10.14. Delay-line oscillator
Author: Julien Clinton Sprott
Publisher: World Scientific Publishing
ISBN: 9813237155
Category : Computers
Languages : en
Pages : 266
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Book Description
Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).
Author: J. R. Abrahams
Publisher: Elsevier
ISBN: 1483137007
Category : Technology & Engineering
Languages : en
Pages : 321
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Book Description
Semiconductor Circuits: Theory, Design and Experiment focuses on the design and modification of circuits involving transistors and related semiconductor devices. This book is divided into three parts. The four chapters of Part I are concerned with the physical theory of semiconductors; production of pn junctions; and characteristics and equivalent circuits of transistors. The treatment of physical theory is briefly mentioned. Part II forms the major portion of this book and is made up of seven chapters. These chapters have been written at a practical level, including a number of complete circuit designs. Chapters 10 and 11, in particular, deal with the aspects of semiconductors. Several laboratory demonstrations and experiments with semiconductors are provided in Part III. This publication is written as an undergraduate and technical college textbook that helps electrical engineering students in choosing the right component and device for a particular application.
Author: G. W. A. Dummer
Publisher: Elsevier
ISBN: 1483164853
Category : Technology & Engineering
Languages : en
Pages : 357
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Book Description
Solid Circuits and Microminiaturization is a collection of the proceedings of the Conference on Solid Circuits and Microminiaturization held at West Ham College of Technology in the UK in June 1963. The conference provided a forum for discussing trends in the microminiaturization of solid circuits and covered a wide range of topics related to the subject, including the design and manufacture of solid circuits; solid circuit fabrication techniques and the resulting passive component characteristics; and equipment design philosophy using integrated circuits. This book is comprised of 27 chapters and begins with an overview of the status and trends in microminiaturization, followed by a description of the techniques used to fabricate solid state circuits and a comparison of the properties of various types of solid state circuits. Subsequent chapters focus on the approaches used in the design and manufacture of solid circuits; characteristics and application of micrologic elements; techniques for the use of solid circuits together with conventional components in miniaturized assemblies; and the application of solid state circuits to computer design. High-speed integrated digital circuits and a group of integrated circuits for linear amplification are also described. This monograph will be of particular value to electronics engineers and systems designers.
Author: Jim Williams
Publisher: Elsevier
ISBN: 0080499430
Category : Technology & Engineering
Languages : en
Pages : 415
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Book Description
In this companion text to Analog Circuit Design: Art, Science, and Personalities, seventeen contributors present more tutorial, historical, and editorial viewpoints on subjects related to analog circuit design. By presenting divergent methods and views of people who have achieved some measure of success in their field, the book encourages readers to develop their own approach to design. In addition, the essays and anecdotes give some constructive guidance in areas not usually covered in engineering courses, such as marketing and career development.*Includes visualizing operation of analog circuits*Describes troubleshooting for optimum circuit performance*Demonstrates how to produce a saleable product
Author: Julien Clinton Sprott
Publisher: World Scientific
ISBN: 9811277532
Category : Science
Languages : en
Pages : 348
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Book Description
This book was mostly written by a machine that was programmed to search a system of equations for chaotic solutions, simplify the equations to the extent possible, analyze the behavior, produce figures, and write the accompanying text. The equations are coupled autonomous ordinary differential equations with three variables and at least one nonlinearity. Fifty simple systems are included. Some are old and familiar; others are relatively new and unknown. They are chosen to illustrate by simple example most of dynamical behaviors that can occur in low-dimensional chaotic systems.There is no substitute for the thrill and insight of seeing the solution of a simple equation unfold as the trajectory wanders in real time across your computer screen using a program of your own making. A goal of this book is to inspire and delight as well as to teach. It provides a wealth of examples ripe for further study and extension, and it offers a glimpse of a future when artificial intelligence supplants many of the mundane tasks that accompany dynamical systems research and becomes a true and tireless collaborator.
Author: Julien Clinton Sprott
Publisher: World Scientific
ISBN: 9811263582
Category : Science
Languages : en
Pages : 325
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Book Description
A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.
Author: Julien Clinton Sprott
Publisher: World Scientific Publishing Company
ISBN: 9789811239991
Category : Science
Languages : en
Pages : 340
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Book Description
Chaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos. This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains. You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.
Author: Peter Carroll Dunn
Publisher: John Wiley & Sons
ISBN: 9780471254485
Category : Technology & Engineering
Languages : en
Pages : 668
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Book Description
Signale und Systeme, Elektromagnetismus, Festkörperphysik und Computer: Dies sind die zentralen Themen dieses einführenden Lehrbuchs der Elektronik. Prägnant, anschaulich und anwendungsorientiert aufbereitet werden die Grundprinzipien erklärt; dabei werden lediglich Grundkenntnisse der komplexen Zahlen und der Differential- und Integralrechnung vorausgesetzt. Besonders bestechend sind die hervorragend aufbereiteten und kommentierten Übungsaufgaben. (06/99)
