Chaos Concepts Control And Constructive Use

Author : Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
Publisher : Springer
Page : 281 pages
File Size : 42,5 Mb
Release : 2016-10-24
Category : Science
ISBN : 9783319424965

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Chaos: Concepts, Control and Constructive Use by Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky Pdf

This book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.

Author : Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 54,9 Mb
Release : 2009-08-06
Category : Science
ISBN : 9783642009372

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Chaos: Concepts, Control and Constructive Use by Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky Pdf

The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of Kolmogorov–Martin-Lof ̈ randomness, which gives a deep understanding of the nature of deterministic chaos. Readers will not need any advanced knowledge to understand it and all the necessary facts and de?nitions will be explained.

Author : R. I. Sujith,Samadhan A. Pawar
Publisher : Springer Nature
Page : 484 pages
File Size : 44,7 Mb
Release : 2021-12-14
Category : Science
ISBN : 9783030811358

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Thermoacoustic Instability by R. I. Sujith,Samadhan A. Pawar Pdf

This book systematically presents the consolidated findings of the phenomenon of self-organization observed during the onset of thermoacoustic instability using approaches from dynamical systems and complex systems theory. Over the last decade, several complex dynamical states beyond limit cycle oscillations such as quasiperiodicity, frequency-locking, period-n, chaos, strange non-chaos, and intermittency have been discovered in thermoacoustic systems operated in laminar and turbulent flow regimes. During the onset of thermoacoustic instability in turbulent systems, an ordered acoustic field and large coherent vortices emerge from the background of turbulent combustion. This emergence of order from disorder in both temporal and spatiotemporal dynamics is explored in the contexts of synchronization, pattern formation, collective interaction, multifractality, and complex networks. For the past six decades, the spontaneous emergence of large amplitude, self-sustained, tonal oscillations in confined combustion systems, characterized as thermoacoustic instability, has remained one of the most challenging areas of research. The presence of such instabilities continues to hinder the development and deployment of high-performance combustion systems used in power generation and propulsion applications. Even with the advent of sophisticated measurement techniques to aid experimental investigations and vast improvements in computational power necessary to capture flow physics in high fidelity simulations, conventional reductionist approaches have not succeeded in explaining the plethora of dynamical behaviors and the associated complexities that arise in practical combustion systems. As a result, models and theories based on such approaches are limited in their application to mitigate or evade thermoacoustic instabilities, which continue to be among the biggest concerns for engine manufacturers today. This book helps to overcome these limitations by providing appropriate methodologies to deal with nonlinear thermoacoustic oscillations, and by developing control strategies that can mitigate and forewarn thermoacoustic instabilities. The book is also beneficial to scientists and engineers studying the occurrence of several other instabilities, such as flow-induced vibrations, compressor surge, aeroacoustics and aeroelastic instabilities in diverse fluid-mechanical environments, to graduate students who intend to apply dynamical systems and complex systems approach to their areas of research, and to physicists who look for experimental applications of their theoretical findings on nonlinear and complex systems.

Author : Christian R. Kramer
Publisher : Springer
Page : 230 pages
File Size : 41,5 Mb
Release : 2016-11-30
Category : Political Science
ISBN : 9783319413938

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Network Theory and Violent Conflicts by Christian R. Kramer Pdf

This book offers a novel approach to understanding violence and violent conflict using complexity and network theories, borrowed from the natural sciences, together with social network analysis. Because violence is both a universal and central component of human communication and identity formation, it has a fundamental function in shaping social behavior. Using Manuel Castells’ work on the programming of social networks, this book explores the Lebanese Civil War and the ongoing war in Afghanistan under the perspective of violence within networks. The approach presents a unique and compelling argument that counters the long-held assumption that war is caused by specific events, or is the unavoidable culmination of existing conditions or grievances. Rather, this book argues that violence emerges when the structure of social networks becomes too rigid and hierarchic to adapt to stresses and challenges that materialize on a constant basis from both within and without the network. This is important not only for the study of war, but as a method of improving the success of contemporary peace building efforts.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9789814466035

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Recent Progress in Controlling Chaos by Anonim Pdf

Author : Wilfrid Perruquetti,Jean-Pierre Barbot
Publisher : CRC Press
Page : 592 pages
File Size : 54,7 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420027853

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Chaos in Automatic Control by Wilfrid Perruquetti,Jean-Pierre Barbot Pdf

Chaotic behavior arises in a variety of control settings. In some cases, it is beneficial to remove this behavior; in others, introducing or taking advantage of the existing chaotic components can be useful for example in cryptography. Chaos in Automatic Control surveys the latest methods for inserting, taking advantage of, or removing chaos in a variety of applications. This book supplies the theoretical and pedagogical basis of chaos in control systems along with new concepts and recent developments in the field. Presented in three parts, the book examines open-loop analysis, closed-loop control, and applications of chaos in control systems. The first section builds a background in the mathematics of ordinary differential and difference equations on which the remainder of the book is based. It includes an introductory chapter by Christian Mira, a pioneer in chaos research. The next section explores solutions to problems arising in observation and control of closed-loop chaotic control systems. These include model-independent control methods, strategies such as H-infinity and sliding modes, polytopic observers, normal forms using homogeneous transformations, and observability normal forms. The final section explores applications in wireless transmission, optics, power electronics, and cryptography. Chaos in Automatic Control distills the latest thinking in chaos while relating it to the most recent developments and applications in control. It serves as a platform for developing more robust, autonomous, intelligent, and adaptive systems.

Author : Eckehard Schöll,Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 849 pages
File Size : 52,8 Mb
Release : 2008-09-08
Category : Science
ISBN : 9783527622320

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Handbook of Chaos Control by Eckehard Schöll,Heinz Georg Schuster Pdf

This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.

Author : Huaguang Zhang,Derong Liu,Zhiliang Wang
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 54,5 Mb
Release : 2009-06-18
Category : Technology & Engineering
ISBN : 9781848825239

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Controlling Chaos by Huaguang Zhang,Derong Liu,Zhiliang Wang Pdf

Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems. This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.

Author : Boulkroune, Abdesselem,Ladaci, Samir
Publisher : IGI Global
Page : 539 pages
File Size : 55,8 Mb
Release : 2018-05-11
Category : Computers
ISBN : 9781522554196

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Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems by Boulkroune, Abdesselem,Ladaci, Samir Pdf

In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.

Author : Arthur James Wells
Publisher : Unknown
Page : 1922 pages
File Size : 51,7 Mb
Release : 2009
Category : Bibliography, National
ISBN : STANFORD:36105211722678

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The British National Bibliography by Arthur James Wells Pdf

Author : Tomasz Kapitaniak
Publisher : Academic Press
Page : 186 pages
File Size : 46,6 Mb
Release : 1996-07-29
Category : Mathematics
ISBN : UOM:39015041283568

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Controlling Chaos by Tomasz Kapitaniak Pdf

More than two decades of intensive studies on non-linear dynamics have raised questions on the practical applications of chaos. One possible answer is to control chaotic behavior in a predictable way. This book, oneof the first on the subject, explores the ideas behind controlling chaos. Controlling Chaos explains, using simple examples, both the mathematical theory and experimental results used to apply chaotic dynamics to real engineering systems. Chuas circuit is used as an example throughout the book as it can be easily constructed in the laboratory and numerically modeled. The use of this example allows readers to test the theories presented. The text is carefully balanced between theory and applications to provide an in-depth examination of the concepts behind the complex ideas presented. In the final section, Kapitaniak brings together selected reprinted papers which have had a significant effect on the development of this rapidly growing interdisciplinary field. Controlling Chaos is essential reading for graduates, researchers, and students wishing to be at the forefront of this exciting new branch of science. * Uses easy examples which can be repeated by the reader both experimentally and numerically * The first book to present basic methods of controlling chaos * Includes reprinted papers representing fundamental contributions to the field * Discusses implementation of chaos controlling fundamentals as applied to practical problems

Author : Anonim
Publisher : Unknown
Page : 372 pages
File Size : 52,9 Mb
Release : 1992
Category : Image processing
ISBN : STANFORD:36105008594835

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Visual Information Processing by Anonim Pdf

Author : J. Froyland
Publisher : CRC Press
Page : 144 pages
File Size : 40,7 Mb
Release : 2019-10-02
Category : Chaotic behavior in systems
ISBN : 113845818X

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Introduction to Chaos and Coherence by J. Froyland Pdf

This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

Author : Garnett Williams
Publisher : CRC Press
Page : 518 pages
File Size : 55,8 Mb
Release : 1997-09-09
Category : Mathematics
ISBN : 9781482295412

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Chaos Theory Tamed by Garnett Williams Pdf

This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.

Author : Kathryn Ann Lindskoog
Publisher : Zondervan
Page : 284 pages
File Size : 46,5 Mb
Release : 1989
Category : Language Arts & Disciplines
ISBN : 0310253217

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Creative Writing by Kathryn Ann Lindskoog Pdf

Crammed with crucial facts, ideas, and warnings never before brought together into clear focus, this guide is not only fun to read, but also work-boots practical. Not only inspiring, but pinch-penny accurate, it is an energizing tonic for writers' weary brain cells. *Lightning Print On Demand Title