Elegant Circuits Simple Chaotic Oscillators

Author : Julien Clinton Sprott,Wesley Joo-chen Thio
Publisher : World Scientific
Page : 357 pages
File Size : 55,7 Mb
Release : 2021-12-17
Category : Science
ISBN : 9789811240010

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Elegant Circuits: Simple Chaotic Oscillators by Julien Clinton Sprott,Wesley Joo-chen Thio Pdf

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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814468671

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Elegant Chaos by Anonim Pdf

Author : Julien Clinton Sprott,William Graham Hoover,Carol Griswold Hoover
Publisher : World Scientific
Page : 325 pages
File Size : 52,6 Mb
Release : 2022-12-20
Category : Science
ISBN : 9789811263583

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Elegant Simulations: From Simple Oscillators To Many-body Systems by Julien Clinton Sprott,William Graham Hoover,Carol Griswold Hoover Pdf

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
Page : 268 pages
File Size : 40,9 Mb
Release : 2018-11-13
Category : Computers
ISBN : 9789813237155

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Elegant Fractals by Julien Clinton Sprott Pdf

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 : M Lakshmanan,K Murali
Publisher : World Scientific
Page : 339 pages
File Size : 41,8 Mb
Release : 1996-06-28
Category : Science
ISBN : 9789814500913

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Chaos In Nonlinear Oscillators: Controlling And Synchronization by M Lakshmanan,K Murali Pdf

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.

Author : Tomasz Kapitaniak
Publisher : World Scientific
Page : 672 pages
File Size : 51,8 Mb
Release : 1992
Category : Science
ISBN : 9810206534

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Chaotic Oscillators by Tomasz Kapitaniak Pdf

This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.

Author : Guanrong Chen,Tetsushi Ueta
Publisher : World Scientific
Page : 660 pages
File Size : 43,9 Mb
Release : 2002
Category : Mathematics
ISBN : 9812705309

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Chaos in Circuits and Systems by Guanrong Chen,Tetsushi Ueta Pdf

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.

Author : Thomas L. Carroll,Louis M. Pecora
Publisher : World Scientific
Page : 352 pages
File Size : 42,9 Mb
Release : 1995
Category : Science
ISBN : 9810224389

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Nonlinear Dynamics in Circuits by Thomas L. Carroll,Louis M. Pecora Pdf

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.

Author : J M González-Miranda
Publisher : World Scientific
Page : 224 pages
File Size : 50,7 Mb
Release : 2004-10-12
Category : Science
ISBN : 9781783260553

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Synchronization and Control of Chaos by J M González-Miranda Pdf

This book presents a comprehensive overview of the research and latest developments in the field of the dynamics of coupled and driven chaotic oscillators, aimed at a wide audience. Since 1990, there has been very active research devoted to the field, culminating in a considerable body of knowledge, while active research continues. The results presented in the book will be valuable for scientific analysis and explanation in various different scientific disciplines, with potential applications in medicine and engineering. The contents include a selection of the most basic theoretical results, as well as experiments and applications presented at a mathematical level suited to readers working in non-hard sciences. It will also be of interest to physicists and mathematicians looking for an introduction to the field. Contents:Dynamics of Coupled and Driven Harmonic OscillatorsChaotic OscillatorsPeriodically Driven Chaotic OscillatorsChaotic Oscillators Driven by Chaotic SignalsPerturbing Chaotic Systems to Control ChaosMutually Coupled Identical Chaotic OscillatorMutually Coupled Non-Identical OscillatorsOn the Dynamics of Coupled and Driven Chaotic Oscillators Readership: Postgraduate students, researchers, engineers and academics interested in the control or synchronization of chaos. Key Features:A broad and systematic account of research on dynamics of coupled and driven chaotic oscillatorsKeywords:Nonlinear Science;Dynamical Systems;Chaos;Deterministic Chaos;Chaotic Oscillators;Synchronization of Chaos;Control of Chaos;Applications of Chaos

Author : Olfa Boubaker,Sajad Jafari
Publisher : Academic Press
Page : 391 pages
File Size : 51,8 Mb
Release : 2018-11-05
Category : Computers
ISBN : 9780128162668

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Recent Advances in Chaotic Systems and Synchronization by Olfa Boubaker,Sajad Jafari Pdf

Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches. Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking. Explores and evaluates the latest real-world applications of chaos across various engineering and biomedical engineering fields Investigates advances in chaos synchronization techniques, including the continuous sliding-mode control approach, hybrid synchronization between chaotic and hyperchaotic systems, and neural network synchronization Presents recent advances in chaotic systems through an overview of new systems and new proprieties

Author : Julien Clinton Sprott
Publisher : World Scientific
Page : 348 pages
File Size : 47,5 Mb
Release : 2023-04-14
Category : Science
ISBN : 9789811277535

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Elegant Automation: Robotic Analysis Of Chaotic Systems by Julien Clinton Sprott Pdf

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 : Azar, Ahmad Taher,Kamal, Nashwa Ahmad
Publisher : IGI Global
Page : 685 pages
File Size : 40,8 Mb
Release : 2020-12-05
Category : Mathematics
ISBN : 9781799857907

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Handbook of Research on Modeling, Analysis, and Control of Complex Systems by Azar, Ahmad Taher,Kamal, Nashwa Ahmad Pdf

The current literature on dynamic systems is quite comprehensive, and system theory’s mathematical jargon can remain quite complicated. Thus, there is a need for a compendium of accessible research that involves the broad range of fields that dynamic systems can cover, including engineering, life sciences, and the environment, and which can connect researchers in these fields. The Handbook of Research on Modeling, Analysis, and Control of Complex Systems is a comprehensive reference book that describes the recent developments in a wide range of areas including the modeling, analysis, and control of dynamic systems, as well as explores related applications. The book acts as a forum for researchers seeking to understand the latest theory findings and software problem experiments. Covering topics that include chaotic maps, predictive modeling, random bit generation, and software bug prediction, this book is ideal for professionals, academicians, researchers, and students in the fields of electrical engineering, computer science, control engineering, robotics, power systems, and biomedical engineering.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814498166

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Chaos and Complexity in Nonlinear Electronic Circuits by Anonim Pdf

Author : Mattia Frasca,Lucia Valentina Gambuzza,Arturo Buscarino,Luigi Fortuna
Publisher : Springer
Page : 109 pages
File Size : 51,6 Mb
Release : 2018-03-10
Category : Technology & Engineering
ISBN : 9783319759579

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Synchronization in Networks of Nonlinear Circuits by Mattia Frasca,Lucia Valentina Gambuzza,Arturo Buscarino,Luigi Fortuna Pdf

This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation. The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.

Author : Maciej J. Ogorza?ek
Publisher : World Scientific
Page : 320 pages
File Size : 53,9 Mb
Release : 1997
Category : Science
ISBN : 9810228732

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Chaos and Complexity in Nonlinear Electronic Circuits by Maciej J. Ogorza?ek Pdf

The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer's perspective on chaos and complex behavior. It starts from basic mathematical notions which enable understanding of the observed phenomena, and guides the reader through the methodology and tools used in the laboratory and numerical experiments to interpretation and explanation of basic mechanisms. On typical circuit examples, it shows how the theoretical and empirical developments can be used in practice. Attention is drawn to applications of chaotic circuits as noise generators and the possible use of synchronized chaotic systems in information transmission and encryption. Chaos control is considered as a new, emerging area where electronic equipment and chaos theory could turn vital in biomedical and engineering issues.