Symmetry In Chaos
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Symmetry In Chaos
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Author : Michael Field
language : en
Publisher: SIAM
Release Date : 2009-06-04
Symmetry In Chaos written by Michael Field and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-04 with Mathematics categories.
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.
Symmetry In Chaos
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Author : Michael Field
language : en
Publisher:
Release Date : 1992
Symmetry In Chaos written by Michael Field and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Symmetry In Chaos
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Author : Mike Field
language : en
Publisher:
Release Date : 1995
Symmetry In Chaos written by Mike Field and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.
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
The Symmetry Of Chaos
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Author : Robert Gilmore
language : en
Publisher:
Release Date : 2007-05-17
The Symmetry Of Chaos written by Robert Gilmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-17 with Art categories.
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.
Symmetry In Chaos
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Author : Stephen Hampton
language : en
Publisher:
Release Date : 1997
Symmetry In Chaos written by Stephen Hampton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Chaotic behavior in systems categories.
In this thesis it is shown that it is possible to find order in chaos. To demonstrate this behaviour the thesis traces the development of symmetric images generated by using chaotic functions. In order to do this two differing areas, one exhibiting chaos (the logistic map) and the other exhibiting symmetry (the dihedral group) are brought together. Each one is developed in order to create a function that exhibits both chaos and symmetry. The function is then iterated to generate symmetric images. The computer package Mathematica is utilized to create the screen images. The purpose of the first chapter is to define the key concepts involved and provide a short summary of the work carried out and also to outline the research involved.
The Symmetry Perspective
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Author : Martin Golubitsky
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Symmetry Perspective written by Martin Golubitsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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
Supersymmetry In Disorder And Chaos
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Author : Konstantin Efetov
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-13
Supersymmetry In Disorder And Chaos written by Konstantin Efetov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-13 with Mathematics categories.
This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
Fully Chaotic Maps And Broken Time Symmetry
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Author : Dean J. Driebe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Fully Chaotic Maps And Broken Time Symmetry written by Dean J. Driebe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
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.
Symmetry And Chaos In Coupled Systems Of Differential Equations
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Author : Steven Michael Cherry
language : en
Publisher:
Release Date : 1994
Symmetry And Chaos In Coupled Systems Of Differential Equations written by Steven Michael Cherry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Coupled problems (Complex systems) categories.
Quantum Signatures Of Chaos
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Author : Fritz Haake
language : en
Publisher: Springer
Release Date : 2019-02-18
Quantum Signatures Of Chaos written by Fritz Haake and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-18 with Science categories.
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.