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Symmetry In Chaos
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Download or read book Symmetry in Chaos written by Mike Field and published by . This book was released on 1995 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Symmetry Perspective by : Martin Golubitsky
Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS
Book Synopsis Supersymmetry in Disorder and Chaos by : Konstantin Efetov
Download or read book Supersymmetry in Disorder and Chaos written by Konstantin Efetov and published by Cambridge University Press. This book was released on 1999-09-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
Download or read book Crystal and Dragon written by David Wade and published by Inner Traditions / Bear & Co. This book was released on 1993-05 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the interplay of light and darkness, order and chaos, David Wade shows how perceptions about the nature of the universe are reflected in the art of a given period. He details the form and fluidity of prehistoric art, the crystalline order of Islamic patterns, and the subtle vitality of Chinese landscapes and calligraphy.
Book Synopsis Symmetry in Chaos by : Michael Field
Download or read book Symmetry in Chaos written by Michael Field and published by SIAM. This book was released on 2009-06-04 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: A striking full-colour book which explores how combining symmetry and chaos can lead to the construction of remarkable images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described.
Book Synopsis Fully Chaotic Maps and Broken Time Symmetry by : Dean J. Driebe
Download or read book Fully Chaotic Maps and Broken Time Symmetry written by Dean J. Driebe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was initiated by the work of the great theoretical physicist Ludwig Boltzmann in the second half of the 19th century. Ludwig Boltzmann tried to emulate in physics what Charles Darwin had done in biology and to formulate an evolutionary approach in which past and future would play different roles. Boltzmann's work has lead to innumerable controversies as the laws of classical mechanics (as well as the laws of quan tum mechanics) as traditionally formulated imply symmetry between past and future. As is well known, Albert Einstein often stated that "Time is an illusion". Indeed, as long as dynamics is associated with trajectories satisfy ing the equations of classical mechanics, explaining irreversibility in terms of trajectories appears, as Henri Poincare concluded, as a logical error. After a long struggle, Boltzmann acknowledged his defeat and introduced a probabil ity description in which all microscopic states are supposed to have the same a priori probability. Irreversibility would then be due to the imperfection of our observations associated only with the "macroscopic" state described by temperature, pressure and other similar parameters. Irreversibility then appears devoid of any fundamental significance. However today this position has become untenable.
Book Synopsis The Symmetry of Chaos by : Robert Gilmore
Download or read book The Symmetry of Chaos written by Robert Gilmore and published by . This book was released on 2007-05-17 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a tremendous fascination with chaos and fractals, about which picture books can be found on coffee tables everywhere. Chaos and fractals represent hands-on mathematics that is alive and changing. One can turn on a personal computer and create stunning mathematical images that no one has ever seen before. Chaos and fractals are part of dynamics, a larger subject that deals with change, with systems that evolve with time. Whether the system in question settles down to equilibrium, keeps repeating in cycles, or does something more complicated, it is dynamics that scientists and mathematicians use to analyze a system's behavior. Chaos is the term used to describe the apparently complex behavior of what we consider to be simple, well-behaved systems. Chaotic behavior, when looked at casually, looks erratic and almost random. The type of behavior that in the last 20 years has come to be called chaotic arises in very simple systems. In fact, these systems are essentially deterministic; that is, precise knowledge of the conditions of a system allow future behavior of the system to be predicted. The problem of chaos is to reconcile these apparently conflicting notions: randomness and predictability. Why have scientists, engineers, and mathematicians become intrigued by chaos? The answer to that question has two parts: (1) the study of chaos has provided new conceptual tools enabling scientists to categorize and understand complex behavior and (2) chaotic behavior seems to be universal - from electrical circuits to nerve cells. Chaos is about predictability in even the most unstable systems, and symmetry is a pattern of predictability - a conceptual tool to help understand complex behavior. The Symmetry of Chaos treats this interplay between chaos and symmetry. This graduate textbook in physics, applied mathematics, engineering, fluid dynamics, and chemistry is full of exciting new material, illustrated by hundreds of figures. Nonlinear dynamics and chaos are relatively young fields, and in addition to serving textbook markets, there is a strong interest among researchers in new results in the field. The authors are the foremost experts in this field, and this book should give a definitive account of this branch of dynamical systems theory.
Book Synopsis SYMMETRY IN CHAOS. by : Michael Field
Download or read book SYMMETRY IN CHAOS. written by Michael Field and published by . This book was released on 1992 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fearful Symmetry written by Ian Stewart and published by Courier Corporation. This book was released on 2010-08-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: "From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--
Book Synopsis An Introduction to Dynamical Systems and Chaos by : G.C. Layek
Download or read book An Introduction to Dynamical Systems and Chaos written by G.C. Layek and published by Springer. This book was released on 2015-12-01 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.
Download or read book Explaining Chaos written by Peter Smith and published by Cambridge University Press. This book was released on 1998-09-24 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and accessible discussion of the ideas and issues behind chaotic dynamics.
Book Synopsis Weak Chaos and Quasi-Regular Patterns by : George M. Zaslavsky
Download or read book Weak Chaos and Quasi-Regular Patterns written by George M. Zaslavsky and published by Cambridge University Press. This book was released on 1992-08-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour.
Book Synopsis Quantum Signatures of Chaos by : Fritz Haake
Download or read book Quantum Signatures of Chaos written by Fritz Haake and published by Springer. This book was released on 2019-02-18 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Chaos and Harmony by : Xuan Thuan Trinh
Download or read book Chaos and Harmony written by Xuan Thuan Trinh and published by . This book was released on 2006 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the subatomic world to the vast realm of quasars and galaxies, from the nature of mathematics to the fractal characteristics of the human circulatory system, an astronomer takes us on a breathtaking tour of the universe. 22 halftones. Line illustrations.
Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller
Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computers, Pattern, Chaos and Beauty by : Clifford A. Pickover
Download or read book Computers, Pattern, Chaos and Beauty written by Clifford A. Pickover and published by Courier Corporation. This book was released on 2012-07-12 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and chaos theory lead to startling graphics in this book by a renowned scientist, inventor, and artist, who coordinates information from disparate fields. Over 275 illustrations, 29 in color.
Book Synopsis Timeless Reality by : Victor J. Stenger
Download or read book Timeless Reality written by Victor J. Stenger and published by Prometheus Books. This book was released on 2009-12-02 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: A professor of physics and astronomy studies a theory that time is reversible, and explains how physicists have generally been reluctant to accept the reversibility of time because of the implied causal paradoxes. Illustrations.
