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Author | : John H. Argyris |
Publisher | : Springer |
Total Pages | : 884 |
Release | : 2015-04-24 |
Genre | : Technology & Engineering |
ISBN | : 3662460424 |
Download An Exploration of Dynamical Systems and Chaos Book in PDF, ePub and Kindle
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 | : Nina Hall |
Publisher | : W. W. Norton & Company |
Total Pages | : 244 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780393312263 |
Download Exploring Chaos Book in PDF, ePub and Kindle
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.
Author | : Stephen H. Kellert |
Publisher | : University of Chicago Press |
Total Pages | : 190 |
Release | : 1994-12-15 |
Genre | : Science |
ISBN | : 0226429768 |
Download In the Wake of Chaos Book in PDF, ePub and Kindle
Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.
Author | : John H. Argyris |
Publisher | : North Holland |
Total Pages | : 780 |
Release | : 1994 |
Genre | : Science |
ISBN | : |
Download An Exploration of Chaos Book in PDF, ePub and Kindle
Hardbound. This volume is intended as a detailed introduction to the theory of chaos and is addressed to physicists and engineers who wish to be acquainted with this new and exciting science associated with non-linear deterministic systems. Mathematics are a pre-requisite tool.
Author | : Manfred Schroeder |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2009-08-21 |
Genre | : Science |
ISBN | : 0486472043 |
Download Fractals, Chaos, Power Laws Book in PDF, ePub and Kindle
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Author | : Charalampos (Haris) Skokos |
Publisher | : Springer |
Total Pages | : 280 |
Release | : 2016-03-04 |
Genre | : Science |
ISBN | : 3662484102 |
Download Chaos Detection and Predictability Book in PDF, ePub and Kindle
Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ‘0-1’ test for chaos.
Author | : Mario Martelli |
Publisher | : John Wiley & Sons |
Total Pages | : 347 |
Release | : 2011-11-01 |
Genre | : Mathematics |
ISBN | : 1118031121 |
Download Introduction to Discrete Dynamical Systems and Chaos Book in PDF, ePub and Kindle
A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized. Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks. An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.
Author | : Steven H. Strogatz |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 0429961111 |
Download Nonlinear Dynamics and Chaos Book in PDF, ePub and Kindle
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author | : Robert Devaney |
Publisher | : CRC Press |
Total Pages | : 280 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 0429981937 |
Download An Introduction To Chaotic Dynamical Systems Book in PDF, ePub and Kindle
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.
Author | : Fritz Haake |
Publisher | : Springer |
Total Pages | : 659 |
Release | : 2019-02-18 |
Genre | : Science |
ISBN | : 3319975803 |
Download Quantum Signatures of Chaos Book in PDF, ePub and Kindle
This classic text 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.