Elegant Circuits: Simple Chaotic Oscillators

Elegant Circuits: Simple Chaotic Oscillators

Author: Julien Clinton Sprott

Publisher: World Scientific

Published: 2021-12-17

Total Pages: 357

ISBN-13: 9811240019

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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.


Elegant Simulations: From Simple Oscillators To Many-body Systems

Elegant Simulations: From Simple Oscillators To Many-body Systems

Author: Julien Clinton Sprott

Publisher: World Scientific

Published: 2022-12-20

Total Pages: 325

ISBN-13: 9811263582

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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.


All-in-One Electronics Simplified

All-in-One Electronics Simplified

Author: A.K. Maini, Nakul Maini

Publisher: KHANNA PUBLISHING HOUSE

Published:

Total Pages: 906

ISBN-13: 9386173395

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The All-in-one Electronics Simplified is comprehensive treatise on the whole gamut of topics in Electronics in Q &A format. The book is primarily intended for undergraduate students of Electronics Engineering and covers six major subjects taught at the undergraduate level students of Electronics Engineering and covers six major subjects taught at the undergraduate level including Electronic Devices and Circuits, Network Analysis , Operational Amplifiers and Linear Integrated Circuits, Digital Electronics, Feedback and Control Systems and Measurements and Instrumentation. Each of the thirty chapters is configured as the Q&A part followed by a large number of Solved Problems. A comprehensive Self-Evaluation Exercise comprising multiple choice questions and other forms of objective type exercises concludes each chapter.


Oscillators

Oscillators

Author: Patrice Salzenstein

Publisher: BoD – Books on Demand

Published: 2019-06-26

Total Pages: 126

ISBN-13: 1789858372

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An oscillator is dedicated to the generation of signals. It is used in computers, telecoms, watchmaking, astronomy, and metrology. It can be a pendulum, an electronic oscillator based on quartz technology, an optoelectronic oscillator, or an atomic clock, depending on its application. Since water clocks of antiquity, mechanical clocks invented during the thirteenth century, and the discovery of piezoelectricity by Jacques and Pierre Curie in 1880, oscillators have made great progress. This book does not attempt to tell the story of oscillators, but rather provides an overview of particular oscillator structures through examples from mathematics to oscillators, and from the millimeter scale to the vibration of a building, focusing on recent developments, as we live in a time when technology and mathematical analysis play a vital role.


Electronics Simplified

Electronics Simplified

Author: Ian Sinclair

Publisher: Elsevier

Published: 2011-05-17

Total Pages: 370

ISBN-13: 008097063X

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Previously published as: Electronics made simple / Ian Sinclair. 2002. 2nd ed.


RF and Microwave Transistor Oscillator Design

RF and Microwave Transistor Oscillator Design

Author: Andrei Grebennikov

Publisher: John Wiley & Sons

Published: 2007-04-30

Total Pages: 458

ISBN-13: 9780470512081

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The increase of consumer electronics and communications applications using Radio Frequency (RF) and microwave circuits has implications for oscillator design. Applications working at higher frequencies and using novel technologies have led to a demand for more robust circuits with higher performance and functionality, but decreased costs, size and power consumption. As a result, there is also a need for more efficient oscillators. This book presents up to date information on all aspects of oscillator design, enabling a selection of the best oscillator topologies with optimized noise reduction and electrical performance. RF and Microwave Transistor Oscillator Design covers: analyses of non-linear circuit design methods including spectral-domain analysis, time-domain analysis and the quasilinear method; information on noise in oscillators including chapters on varactor and oscillator frequency tuning, CMOS voltage-controlled oscillators and wideband voltage-controlled oscillators; information on the stability of oscillations, with discussions on the stability of multi-resonant circuits and the phase plane method; optimized design and circuit techniques, beginning with the empirical and analytic design approaches, moving on to the high-efficiency design technique; general operation and design principles of oscillators, including a section on the historical aspects of oscillator configurations. A valuable reference for practising RF and Microwave designers and engineers, RF and Microwave Transistor Oscillator Design is also useful for lecturers, advanced students and research and design (R&D) personnel.


High Frequency Transistor Oscillators

High Frequency Transistor Oscillators

Author: Joseph Warren Kenny

Publisher:

Published: 1961

Total Pages: 110

ISBN-13:

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The operation of high frequency class-C alloy junction transistor oscillators is studied by use of a simplified version of the block-diagram representation for the transistor as developed by Bruun. For the simplified version of the block-diagram representation used, unilateral operation of the transistor is assumed. Expressions approximating the transistor time delay, peak ac input voltage, and the collector current pulse cutoff time are derived by use of the block-diagram equations. An analog circuit, derived from the block-diagram equations, is used to study the class-C operation of a typical alloy junction transistor, and the results of this study are found to compare accurately with the actual transistor operation. (Author).


Introduction to Classical and Quantum Harmonic Oscillators

Introduction to Classical and Quantum Harmonic Oscillators

Author: S. C. Bloch

Publisher: John Wiley & Sons

Published: 2013-03-29

Total Pages: 343

ISBN-13: 1118710827

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From conch shells to lasers . harmonic oscillators, the timeless scientific phenomenon As intriguing to Galileo as they are to scientists today, harmonic oscillators have provided a simple and compelling paradigm for understanding the complexities that underlie some of nature's and mankind's most fascinating creations. From early string and wind instruments fashioned from bows and seashells to the intense precision of lasers, harmonic oscillators have existed in various forms, as objects of beauty and scientific use. And harmonic oscillation has endured as one of science's most fascinating concepts, key to understanding the physical universe and a linchpin in fields as diverse as mechanics, electromagnetics, electronics, optics, acoustics, and quantum mechanics. Complete with disk, Introduction to Classical and Quantum Harmonic Oscillators is a hands-on guide to understanding how harmonic oscillators function and the analytical systems used to describe them. Professionals and students in electrical engineering, mechanical engineering, physics, and chemistry will gain insight in applying these analytical techniques to even more complex systems. With the help of spreadsheets ready to run on Microsoft Excel (or easily imported to Quattro Pro or Lotus 1-2-3), users will be able to thoroughly and easily examine concepts and questions, of considerable difficulty and breadth, without painstaking calculation. The software allows users to imagine, speculate, and ask "what if .?" and then instantly see the answer. You're not only able to instantly visualize results but also to interface with data acquisition boards to import real-world information. The graphic capability of the software allows you to view your work in color and watch new results blossom as you change parameters and initial conditions. Introduction to Classical and Quantum Harmonic Oscillators is a practical, graphically enhanced excursion into the world of harmonic oscillators that lets the reader experience and understand their utility and unique contribution to scientific understanding. It also describes one of the enduring themes in scientific inquiry, begun in antiquity and with an as yet unimagined future.