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Author: Jack Skillingstead
Publisher: John Joseph Adams
Published: 2019-03
Total Pages: 309
ISBN-13: 1328526151
DOWNLOAD EBOOK →For readers of the best-selling novels Sleeping Giants and Dark Matter, an intense, high-stakes thriller with a science-fiction twist that asks: If technology enabled you to save the life of someone you love, would you do so even if it might doom millions?
Author: Erol Başar
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 186
ISBN-13: 3642755453
DOWNLOAD EBOOK →The analysis of deterministic chaos is currently an active field in many branches of research. Mathematically all nonlinear dynamical systems with more than two degrees of freedom can generate chaos, becoming unpredictable over a longer time scale. The brain is a nonlinear system par excellence. Accordingly, the concepts of chaotic dynamics have found, in the last five years, an important application in research on compound electrical activity of the brain. The present volume seeks to cover most of the relevant studies in the newly emerging field of chaotic attractors in the brain. This volume is essentially a selection and reorganization of contri butions from the first two volumes in the Springer Series in Brain Dynamics, which were based on conferences held in 1985 and 1987 in Berlin. It also includes (a) a survey of progress in the recording of evoked oscillations of the brain both at the cellular and EEG levels and (b) an agenda for research on chaotic dynamics. Although the first publications pointing out evidence of chaotic behavior of the EEG did not appear until the beginning of 1985, the presence of the pioneering scientists in this field gave the participants at the first conference (volume 1) a strong impulse toward this field. For me, as conference organizer, having been for a long time active in nonlinear EEG research, the integration of this topic was self-evident; however, the enthusiasm of the conference participants was greater than expected.
Author: Karl-G. Grosse-Erdmann
Publisher: Springer Science & Business Media
Published: 2011-08-24
Total Pages: 391
ISBN-13: 1447121708
DOWNLOAD EBOOK →It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dynamics lies at the crossroads of several areas of mathematics including operator theory, complex analysis, ergodic theory and partial differential equations. At the same time its basic ideas can be easily understood by a wide audience. Written by two renowned specialists, Linear Chaos provides a welcome introduction to this theory. Split into two parts, part I presents a self-contained introduction to the dynamics of linear operators, while part II covers selected, largely independent topics from linear dynamics. More than 350 exercises and many illustrations are included, and each chapter contains a further ‘Sources and Comments’ section. The only prerequisites are a familiarity with metric spaces, the basic theory of Hilbert and Banach spaces and fundamentals of complex analysis. More advanced tools, only needed occasionally, are provided in two appendices. A self-contained exposition, this book will be suitable for self-study and will appeal to advanced undergraduate or beginning graduate students. It will also be of use to researchers in other areas of mathematics such as partial differential equations, dynamical systems and ergodic theory.
Author: Frederick J. Ruf
Publisher: SUNY Press
Published: 1991-01-01
Total Pages: 216
ISBN-13: 9780791407011
DOWNLOAD EBOOK →This is the first book-length study of William James' style, arguing that the manner in which James writes The Principles of Psychology and The Varieties of Religious Experience serves to construct a chaotic world for his readers. The book examines the uses of chaos in western literature and philosophy and reaches two conclusions: that chaos may be "utter confusion and disorder," but, paradoxically, that disorder is communicated through some particular order -- in Joyce's term, all chaos is "chaosmos." Secondly, what is essential about chaos is what it does: nothing is inherently chaotic, rather chaos is used to contrast with or challenge something that is more structured or formed. Finally, the author presents an examination of the religious function of James' chaotic worldview as a disorientation which orients.
Author: Martin C. Gutzwiller
Publisher: Springer Science & Business Media
Published: 2013-11-27
Total Pages: 445
ISBN-13: 1461209838
DOWNLOAD EBOOK →Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Author: Tonis Vaga
Publisher: Tonis Vaga
Published: 1994
Total Pages: 284
ISBN-13: 9780070667860
DOWNLOAD EBOOK →Finally, a book that not only explains the relationship between investing and chaos theory--the cutting-edge dicipline that Business Week says will "revitalize the money-management industry"--but also shows readers how to use the theory to master the financial markets. Illustrated.
Author: Mike Field
Publisher:
Published: 1995
Total Pages: 238
ISBN-13:
DOWNLOAD EBOOK →A classy rendering of chaos theory and symmetry mathematics illustrating recent understanding about the convergence between the two areas. Mathematicians Field and Golubitsky explain the relationship between chaos and symmetry, describing how chaotic process may eventually lead to symmetric patterns in a clear, understandable language and in color photographs reproducing computer images demonstrating the inherent pattern in apparent chaos. The authors compare these images with pictures from nature and art that, miraculously, mimic the computer patterns. Includes an appendix containing several BASIC programs enabling home computer owners to experiment with similar images. Annotation copyrighted by Book News, Inc., Portland, OR
Author: John H. Argyris
Publisher: Springer
Published: 2015-04-24
Total Pages: 884
ISBN-13: 3662460424
DOWNLOAD EBOOK →This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany
Author: Hans Jürgen Korsch
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 327
ISBN-13: 3662038668
DOWNLOAD EBOOK →Chaos: A Program Collection for the PC presents an outstanding selection of executable programs with introductory texts to chaos theory and its simulation. Students in physics, mathematics, and engineering will find a thorough introduction to fundamentals and applications in this field. Many numerical experiments and suggestions for further studies help the reader to become familiar with this fascinating topic. The second edition includes one CD-ROM, the executable programs are Windows 95 compatible.
Author: Morris W. Hirsch
Publisher: Academic Press
Published: 2004
Total Pages: 433
ISBN-13: 0123497035
DOWNLOAD EBOOK →Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
