Explaining Chaos
Author: Peter Smith
Publisher: Cambridge University Press
Published: 1998-09-24
Total Pages: 198
ISBN-13: 9780521477475
DOWNLOAD EBOOKA clear and accessible discussion of the ideas and issues behind chaotic dynamics.
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Chaos in Ecology
Author: J. M. Cushing
Publisher: Elsevier
Published: 2003
Total Pages: 248
ISBN-13: 9780121988760
DOWNLOAD EBOOKChaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.
Call Sign Chaos
Author: Jim Mattis
Publisher: Random House
Published: 2019-09-03
Total Pages: 336
ISBN-13: 0812996844
DOWNLOAD EBOOK#1 NEW YORK TIMES BESTSELLER • A clear-eyed account of learning how to lead in a chaotic world, by General Jim Mattis—the former Secretary of Defense and one of the most formidable strategic thinkers of our time—and Bing West, a former assistant secretary of defense and combat Marine. “A four-star general’s five-star memoir.”—The Wall Street Journal Call Sign Chaos is the account of Jim Mattis’s storied career, from wide-ranging leadership roles in three wars to ultimately commanding a quarter of a million troops across the Middle East. Along the way, Mattis recounts his foundational experiences as a leader, extracting the lessons he has learned about the nature of warfighting and peacemaking, the importance of allies, and the strategic dilemmas—and short-sighted thinking—now facing our nation. He makes it clear why America must return to a strategic footing so as not to continue winning battles but fighting inconclusive wars. Mattis divides his book into three parts: Direct Leadership, Executive Leadership, and Strategic Leadership. In the first part, Mattis recalls his early experiences leading Marines into battle, when he knew his troops as well as his own brothers. In the second part, he explores what it means to command thousands of troops and how to adapt your leadership style to ensure your intent is understood by your most junior troops so that they can own their mission. In the third part, Mattis describes the challenges and techniques of leadership at the strategic level, where military leaders reconcile war’s grim realities with political leaders’ human aspirations, where complexity reigns and the consequences of imprudence are severe, even catastrophic. Call Sign Chaos is a memoir of a life of warfighting and lifelong learning, following along as Mattis rises from Marine recruit to four-star general. It is a journey about learning to lead and a story about how he, through constant study and action, developed a unique leadership philosophy, one relevant to us all.
Days of Chaos
Author: Jack Hunt
Publisher: Createspace Independent Publishing Platform
Published: 2018-02-17
Total Pages: 0
ISBN-13: 9781985651319
DOWNLOAD EBOOKAfter the lights went out across the nation, Elliot, Jesse, Maggie and Damon fought off the desperate as they made their way back to Lake Placid. When a string of murders occur throughout Lake Placid, Elliot must face an unknown danger. With looters and raiders going wild it's only a matter of time before they lose control. How many must die before they throw in the towel and protect their own?
Transient Chaos
Author: Ying-Cheng Lai
Publisher: Springer Science & Business Media
Published: 2011-02-26
Total Pages: 499
ISBN-13: 144196987X
DOWNLOAD EBOOKThe aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
Chua's Circuit: A Paradigm For Chaos
Author: Rabinder N Madan
Publisher: World Scientific
Published: 1993-11-20
Total Pages: 1089
ISBN-13: 9814504319
DOWNLOAD EBOOKFor uninitiated researchers, engineers, and scientists interested in a quick entry into the subject of chaos, this book offers a timely collection of 55 carefully selected papers covering almost every aspect of this subject. Because Chua's circuit is endowed with virtually every bifurcation phenomena reported in the extensive literature on chaos, and because it is the only chaotic system which can be easily built by a novice, simulated in a personal computer, and tractable mathematically, it has become a paradigm for chaos, and a vehicle for illustrating this ubiquitous phenomenon. Its supreme simplicity and robustness has made it the circuit of choice for generating chaotic signals for practical applications.In addition to the 48 illuminating papers drawn from a recent two-part Special Issue (March and June, 1993) of the Journal of Circuits, Systems, and Computers devoted exclusively to Chua's circuit, several highly illustrative tutorials and incisive state-of-the-art reviews on the latest experimental, computational, and analytical investigations on chaos are also included. To enhance its pedagogical value, a diskette containing a user-friendly software and data base on many basic chaotic phenomena is attached to the book, as well as a gallery of stunningly colorful strange attractors.Beginning with an elementary (freshman-level physics) introduction on experimental chaos, the book presents a step-by-step guided tour, with papers of increasing complexity, which covers almost every conceivable aspects of bifurcation and chaos. The second half of the book contains many original materials contributed by world-renowned authorities on chaos, including L P Shil'nikov, A N Sharkovsky, M Misiurewicz, A I Mees, R Lozi, L O Chua and V S Afraimovich.The scope of topics covered is quite comprehensive, including at least one paper on each of the following topics: routes to chaos, 1-D maps, universality, self-similarity, 2-parameter renormalization group analysis, piecewise-linear dynamics, slow-fast dynamics, confinor analysis, symmetry breaking, strange attractors, basins of attraction, geometric invariants, time-series reconstruction, Lyapunov exponents, bispectral analysis, homoclinic bifurcation, stochastic resonance, synchronization, and control of chaos, as well as several novel applications of chaos, including secure communications, visual sensing, neural networks, dry turbulence, nonlinear waves and music.
The Theory of Chaotic Attractors
Author: Brian R. Hunt
Publisher: Springer Science & Business Media
Published: 2004-01-08
Total Pages: 528
ISBN-13: 9780387403496
DOWNLOAD EBOOKThe editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.
Chaos in Electronics
Author: M.A. van Wyk
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 489
ISBN-13: 9401589216
DOWNLOAD EBOOKMany dynamical systems in physics, chemistry and biology exhibit complex be haviour. The apparently random motion of a fluid is the best known example. How ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critical reading of the manuscript. Any useful suggestions and comments are welcome. Email address of the first author: MVANWYK@TSAMAIL. TRSA. AC. ZA Email address of the first author: WHS@RAU3. RAU. AC. ZA Home page of the authors: http://zeus. rau. ac. za/steeb/steeb. html xi Chapter 1 Introduction 1.
Hyperbolic Chaos
Author: Sergey P. Kuznetsov
Publisher: Springer Science & Business Media
Published: 2012-03-20
Total Pages: 318
ISBN-13: 3642236669
DOWNLOAD EBOOK"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.
Robust Chaos and Its Applications
Author: Elhadj Zeraoulia
Publisher: World Scientific
Published: 2012
Total Pages: 473
ISBN-13: 9814374075
DOWNLOAD EBOOKRobust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.
