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Chaos

Chaos Book
Author : Richard Kautz
Publisher : Oxford University Press
Release : 2010-11-04
ISBN : 0199594589
Language : En, Es, Fr & De

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Book Description :

Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.

Chaos A Statistical Perspective

Chaos  A Statistical Perspective Book
Author : Kung-Sik Chan,Howell Tong
Publisher : Springer Science & Business Media
Release : 2001-08-09
ISBN : 9780387952802
Language : En, Es, Fr & De

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Book Description :

This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.

The Essence Of Chaos

The Essence Of Chaos Book
Author : Flavio Lorenzelli
Publisher : CRC Press
Release : 2003-09-02
ISBN : 0203214587
Language : En, Es, Fr & De

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Book Description :

The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

Chaos

Chaos Book
Author : Kathleen Alligood,Tim Sauer,J.A. Yorke
Publisher : Springer
Release : 2012-12-06
ISBN : 3642592813
Language : En, Es, Fr & De

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Book Description :

BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.

Chaos

Chaos Book
Author : Tom O'Neill
Publisher : Little, Brown
Release : 2019-06-25
ISBN : 0316477575
Language : En, Es, Fr & De

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Book Description :

A journalist's twenty-year fascination with the Manson murders leads to shocking new revelations about the FBI's involvement in this riveting reassessment of an infamous case in American history. Over two grim nights in Los Angeles, the young followers of Charles Manson murdered seven people, including the actress Sharon Tate, then eight months pregnant. With no mercy and seemingly no motive, the Manson Family followed their leader's every order -- their crimes lit a flame of paranoia across the nation, spelling the end of the sixties. Manson became one of history's most infamous criminals, his name forever attached to an era when charlatans mixed with prodigies, free love was as possible as brainwashing, and utopia -- or dystopia -- was just an acid trip away. Twenty years ago, when journalist Tom O'Neill was reporting a magazine piece about the murders, he worried there was nothing new to say. Then he unearthed shocking evidence of a cover-up behind the "official" story, including police carelessness, legal misconduct, and potential surveillance by intelligence agents. When a tense interview with Vincent Bugliosi -- prosecutor of the Manson Family and author of Helter Skelter -- turned a friendly source into a nemesis, O'Neill knew he was onto something. But every discovery brought more questions: Who were Manson's real friends in Hollywood, and how far would they go to hide their ties? Why didn't law enforcement, including Manson's own parole officer, act on their many chances to stop him? And how did Manson -- an illiterate ex-con -- turn a group of peaceful hippies into remorseless killers? O'Neill's quest for the truth led him from reclusive celebrities to seasoned spies, from San Francisco's summer of love to the shadowy sites of the CIA's mind-control experiments, on a trail rife with shady cover-ups and suspicious coincidences. The product of two decades of reporting, hundreds of new interviews, and dozens of never-before-seen documents from the LAPD, the FBI, and the CIA, Chaos mounts an argument that could be, according to Los Angeles Deputy District Attorney Steven Kay, strong enough to overturn the verdicts on the Manson murders. This is a book that overturns our understanding of a pivotal time in American history.

Chaos

Chaos Book
Author : Arun V. Holden
Publisher : Princeton University Press
Release : 2014-07-14
ISBN : 1400858151
Language : En, Es, Fr & De

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Book Description :

This volume sets out the basic applied mathematical and numerical methods of chaotic dynamics and illustrates the wide range of phenomena, inside and outside the laboratory, that can be treated as chaotic processes. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Emergence

Emergence Book
Author : John H. Holland
Publisher : OUP Oxford
Release : 2000
ISBN : 9780192862112
Language : En, Es, Fr & De

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Book Description :

We are confronted with emergent systems everywhere and Holland shows how a theory of emergence can predict many complex behaviours in art and science. This book will appeal to scientists and anyone interested in scientific theory.

Chaos

Chaos Book
Author : James Gleick
Publisher : Open Road Media
Release : 2011-03-22
ISBN : 1453210474
Language : En, Es, Fr & De

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Book Description :

The “highly entertaining” New York Times bestseller, which explains chaos theory and the butterfly effect, from the author of The Information (Chicago Tribune). For centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung to the idea that any system, no matter how complex, could be reduced to a simple pattern. In the 1960s, a small group of radical thinkers began to take that notion apart, placing new importance on the tiny experimental irregularities that scientists had long learned to ignore. Miniscule differences in data, they said, would eventually produce massive ones—and complex systems like the weather, economics, and human behavior suddenly became clearer and more beautiful than they had ever been before. In this seminal work of scientific writing, James Gleick lays out a cutting edge field of science with enough grace and precision that any reader will be able to grasp the science behind the beautiful complexity of the world around us. With more than a million copies sold, Chaos is “a groundbreaking book about what seems to be the future of physics” by a writer who has been a finalist for both the Pulitzer Prize and the National Book Award, the author of Time Travel: A History and Genius: The Life and Science of Richard Feynman (Publishers Weekly).

Chaos A Mathematical Introduction

Chaos  A Mathematical Introduction Book
Author : John Banks,Valentina Dragan,Arthur Jones
Publisher : Cambridge University Press
Release : 2003-05-08
ISBN : 9780521531047
Language : En, Es, Fr & De

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Book Description :

Presents an introduction to chaos theory.

Control and Chaos

Control and Chaos Book
Author : Kevin Judd,Alistair Mees,Thomas L. Vincent,Kok L. Teo
Publisher : Springer Science & Business Media
Release : 1997-12
ISBN : 9780817638672
Language : En, Es, Fr & De

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Book Description :

The articles in this Control and Chaos volume are an outgrowth of a US-Australia workshop held in Hawaii in 1995. Experts in dynamical systems theory and control theory from the US and Australia, as well as England and Japan, focused on the problem of controlling nonlinear and potentially chaotic systems using limited control effort. The formal contributions take into account the discussions and commentaries of the participants and are reflected at the end of each article. Part I contains papers dealing with modeling, behavior, reconstruction, prediction and numerics. Part II deals with controlling complex systems by means of embedding unstable periodic orbits, targeting, filtering, optimization and adaptive methods. Part III contains four applications papers including the control of a bouncing ball, evolutionary stability, chaos in ecosystems, and neural networks. Contents and Contributors: Understanding Complex Dynamics Triangulating Noisy Dynamical Systems S. Allie, A. Mees, K. Judd, D. Watson Attractor Reconstruction and Control Using Interspike Intervals T. Sauer Modeling Chaos from Experimental Data K. Judd, A. Mees Chaos in Symplectic Discretization of the Pendulum and Sine-Gordon Equations B.M. Herbst, C.M. Schober Collapsing Effects in Computation of Dynamical Systems P. Diamond, P. Kloeden, A. Pokrovskii Bifurications in the Falkner-Skan equation C. Sparrow Some Characterizations of Low-dimensional Dynamical Systems with Time-reversal Symmetry J.A.G. Roberts Controlling Complex Systems Control of Chaos by Means of Embedded Unstable Periodic Orbits E. Ott, B.R. Hunt Notch Filter Feedback Control for k-Period Motion in a Chaotic System W.J. Grantham, A.M. Athalye Targeting and Control of Chaos E.J. Kostelich, E. Barreto Adaptive Nonlinear Control: A Lyapunov Approach P.V. Kokotovic, M. Krstic Creating and Targeting Periodic Orbits K. Glass, M. Renton, K. Judd, A. Mees Dynamical Systems, Optimization, and Chaos J.B. Moore Combined Controls for Noisy Chaotic Systems M. Paskota, K.L. Teo, A. Mees Complex Dynamics in Adaptive Systems I.M.Y. Mareels Hitting Times to a Target for the Baker's Map A. Mazer Applications Controllable Targets Near a Chaotic Attractor T.L. Vincent The Dynamics of Evolutionary Stable Strategies Y. Cohen, T.L. Vincent Nitrogen Cycling and the Control of Chaos in a Boreal Forest Model J. Pastor, Y. Cohen Self-organization Dynamics in Chaotic Neural Networks M. Watanabe, K. Aihara, S. Kondo Series: Mathematical Modeling, Volume 8

Quantum Signatures of Chaos

Quantum Signatures of Chaos Book
Author : Fritz Haake
Publisher : Springer Science & Business Media
Release : 2001
ISBN : 9783540677239
Language : En, Es, Fr & De

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Book Description :

This textbook provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Chaos and Nonlinear Dynamics

Chaos and Nonlinear Dynamics Book
Author : Robert C. Hilborn,Amanda and Lisa Cross Professor of Physics Robert Hilborn
Publisher : Oxford University Press on Demand
Release : 2000
ISBN : 9780198507239
Language : En, Es, Fr & De

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Book Description :

Chaos and Nonlinear Dynamics introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, thisbook includes a thorough treatment of both differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers). It is the only book at this level to include the increasingly important field of pattern formation and a survey of the controversial questions ofquantum chaos. Important tools such as Lyapunov exponents and fractal dimensions are treated in detail. With over 200 figures and diagrams, and analytic and computer exercises for every chapter, the book can be used as a course-text or for self-instruction. This second edition has been restructuredto make the book even more useful as a course text:many of the more complex examples and derivations have been moved to appendices. The extensive collection of annotated references has been updated through January 2000 and now includes listings of World Wide Web sites at many of the major nonlineardynamics research centers. From reviews on the 1/e: 'What has been lacking is a single book that takes the reader with nothing but a knowledge of elementary calculus and physics all the way to the frontiers of research in chaos and nonlinear dynamics in all its facets. [...] a serious student,teacher, or researcher would be delighted to have this book on the shelf as a reference and as a window to the literature in this exciting and rapidly growing new field of chaos.' J.C. Sprott, American Journal of Physics, September 19944 'I congratulate the author on having managed to write anextremely thorough, comprehensive, and entertaining introduction to the fascinating field of nonlinear dynamics. His book is highly self- explanatory and ideally suited for self-instruction. There is hardly any question that the author does not address in an exceptionally readable manner. [...] Istrongly recommend it to those looking for a comprehensive, practical, and not highly mathematical approach to the subject.' E.A. Hunt, IEEE Spectrum, December 1994

Chaos Control

Chaos Control Book
Author : Guanrong Chen,Xinghuo Yu
Publisher : Springer Science & Business Media
Release : 2003-07-25
ISBN : 9783540404057
Language : En, Es, Fr & De

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Book Description :

Chaos control refers to purposefully manipulating chaotic dynamical behaviors of some complex nonlinear systems. There exists no similar control theory-oriented book available in the market that is devoted to the subject of chaos control, written by control engineers for control engineers. World-renowned leading experts in the field provide their state-of-the-art survey about the extensive research that has been done over the last few years in this subject. The new technology of chaos control has major impact on novel engineering applications such as telecommunications, power systems, liquid mixing, internet technology, high-performance circuits and devices, biological systems modeling like the brain and the heart, and decision making. The book is not only aimed at active researchers in the field of chaos control involving control and systems engineers, theoretical and experimental physicists, and applied mathematicians, but also at a general audience in related fields.

Intelligent Computing Based on Chaos

Intelligent Computing Based on Chaos Book
Author : Ljupco Kocarev,Zbigniew Galias,Shiguo Lian
Publisher : Springer Science & Business Media
Release : 2009-06-09
ISBN : 3540959718
Language : En, Es, Fr & De

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Book Description :

Chaos is a fascinating phenomenon that has been observed in nature, laboratory, and has been applied in various real-world applications. Chaotic systems are deterministic with no random elements involved yet their behavior appears to be random. Obser- tions of chaotic behavior in nature include weather and climate, the dynamics of sat- lites in the solar system, the time evolution of the magnetic field of celestial bodies, population growth in ecology, to mention only a few examples. Chaos has been observed in the laboratory in a number of systems such as electrical circuits, lasers, chemical reactions, fluid dynamics, mechanical systems, and magneto-mechanical devices. Chaotic behavior has also found numerous applications in electrical and communication engineering, information and communication technologies, biology and medicine. To the best of our knowledge, this is the first book edited on chaos applications in intelligent computing. To access the latest research related to chaos applications in intelligent computing, we launched the book project where researchers from all over the world provide the necessary coverage of the mentioned field. The primary obj- tive of this project was to assemble as much research coverage as possible related to the field by defining the latest innovative technologies and providing the most c- prehensive list of research references.

Chaos Based Digital Communication Systems

Chaos Based Digital Communication Systems Book
Author : Francis C.M. Lau,Chi K. Tse
Publisher : Springer Science & Business Media
Release : 2003-04-29
ISBN : 9783540006022
Language : En, Es, Fr & De

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Book Description :

One of the first books in this area, this text focuses on important aspects of the system operation, analysis and performance evaluation of selected chaos-based digital communications systems – a hot topic in communications and signal processing.

Chaos and Complexity Theory

Chaos and Complexity Theory Book
Author : T. J. Titcomb
Publisher : American Society for Training and Development
Release : 1998
ISBN : 9781562862299
Language : En, Es, Fr & De

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Book Description :

Do decisions and ever-changing strategies make you believe that your organization operates in a state of chaos? Maybe it does - and for good reason. This issue describes the characteristics of chaos and complexity theory found in most organization and how it affects decisions and business management. A beginners guide shows you how to apply these complex theories to understand your organization and the direct consequences for trainers. A glossary of terms is provided as a guide to your baseline understanding of the field.

On the Order of Chaos

On the Order of Chaos Book
Author : Mark S. Mosko,Frederick H. Damon
Publisher : Berghahn Books
Release : 2005
ISBN : 9781845450243
Language : En, Es, Fr & De

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Book Description :

The essays in this volume collectively transform perspectives previously experienced as divergent, conflicting, and inconsistent into a common and complex orientation to problems central to the natural and social sciences involving transitions between order and disorder."--Jacket.

Clinical Chaos

Clinical Chaos Book
Author : Linda L. Chamberlain,Michael R. Bütz
Publisher : Psychology Press
Release : 1998
ISBN : 9780876309261
Language : En, Es, Fr & De

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Book Description :

Psychology and the social sciences are in need of a new foundation, one that provides a better model for understanding complex behavior. Chaos theory and its newest permutation, complexity theory, offers an innovative, exciting and potentially revolutionary leap forward in the evolution of scientific thought. In Clinical Chaos, therapists and theoreticians from various areas in the social sciences will explore the relevance and implications for non-linear dynamics in observing, explaining, and understanding human behavior. At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar. By linking chaos theory with existing psychological theories and established areas of clinical pursuit, Clinical Chaos emphasizes the relevance of this new science in providing a more flexible useful model for complexities of life.

Out of Chaos

Out of Chaos Book
Author : Gerald A. Arbuckle
Publisher : Paulist Press
Release : 1988
ISBN : 9780809130047
Language : En, Es, Fr & De

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Book Description :

Stresses the fact that refounding persons are essential for the revitalization of religious life.

Chaos in Circuits and Systems

Chaos in Circuits and Systems Book
Author : Guanrong Chen,Tetsushi Ueta
Publisher : World Scientific
Release : 2002
ISBN : 9789812705303
Language : En, Es, Fr & De

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Book Description :

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.