Download or read book Chaos In Nature Second Edition written by Letellier Christophe and published by World Scientific. This book was released on 2019-04-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.
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
Download or read book Chaos in Nature written by Christophe Letellier and published by World Scientific. This book was released on 2013 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. It directly comes from the Lunar theory OCo a three-body problem OCo and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using OC NewtonianOCO mechanics. Henri Poincar(r)''s deep intuitions were at the origin of chaos theory. They also led the meteorologist Edward Lorenz to draw the first chaotic attractor ever published. But the main idea consists of plotting a curve representative of the system evolution rather than finding an analytical solution as commonly done in classical mechanics. Such a novel approach allows the description of population interactions and the solar activity as well. Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, et
Download or read book Chaos in Nature written by Christophe Letellier and published by . This book was released on 2005 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory"--
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nature s Chaos written by James Gleick and published by Grand Central Publishing. This book was released on 2001-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: With 102 spectacular full-color photos, this fascinating "field guide" explores the world's natural disorder.
Download or read book An Exploration of Dynamical Systems and Chaos written by John H. Argyris and published by Springer. This book was released on 2015-04-24 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Models and Applications of Chaos Theory in Modern Sciences written by Elhadj Zeraoulia and published by CRC Press. This book was released on 2011-09-07 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory in medicine, biology, ecology, economy, electronics, mechanical, and the human sciences. Covering both the experimental and theoretical aspects of the subject, it examines a range of current topics of interest. It consid
Download or read book Complexity written by Roger Lewin and published by University of Chicago Press. This book was released on 1999 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Put together one of the world's best science writers with one of the universe's most fascinating subjects and you are bound to produce a wonderful book. . . . The subject of complexity is vital and controversial. This book is important and beautifully done."—Stephen Jay Gould "[Complexity] is that curious mix of complication and organization that we find throughout the natural and human worlds: the workings of a cell, the structure of the brain, the behavior of the stock market, the shifts of political power. . . . It is time science . . . thinks about meaning as well as counting information. . . . This is the core of the complexity manifesto. Read it, think about it . . . but don't ignore it."—Ian Stewart, Nature This second edition has been brought up to date with an essay entitled "On the Edge in the Business World" and an interview with John Holland, author of Emergence: From Chaos to Order.
Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Download or read book Encounters with Chaos and Fractals Second Edition written by Denny Gulick and published by CRC Press. This book was released on 2012-04-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with an extensive introduction to fractal geometry Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications. Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set. With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.
Download or read book Order Out of Chaos written by Ilya Prigogine and published by Verso Books. This book was released on 2018-01-23 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.
Download or read book Chaos and Cosmos written by Heidi C. M. Scott and published by Penn State Press. This book was released on 2015-01-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chaos and Cosmos, Heidi Scott integrates literary readings with contemporary ecological methods to investigate two essential and contrasting paradigms of nature that scientific ecology continues to debate: chaos and balance. Ecological literature of the Romantic and Victorian eras uses environmental chaos and the figure of the balanced microcosm as tropes essential to understanding natural patterns, and these eras were the first to reflect upon the ecological degradations of the Industrial Revolution. Chaos and Cosmos contends that the seed of imagination that would enable a scientist to study a lake as a microcosmic world at the formal, empirical level was sown by Romantic and Victorian poets who consciously drew a sphere around their perceptions in order to make sense of spots of time and place amid the globalizing modern world. This study’s interest goes beyond likening literary tropes to scientific aesthetics; it aims to theorize the interdisciplinary history of the concepts that underlie our scientific understanding of modern nature. Paradigmatic ecological ideas such as ecosystems, succession dynamics, punctuated equilibrium, and climate change are shown to have a literary foundation that preceded their status as theories in science. This book represents an elevation of the prospects of ecocriticism toward fully developed interdisciplinary potentials of literary ecology.
Download or read book Universality in Chaos 2nd edition written by P Cvitanovic and published by Routledge. This book was released on 2017-07-12 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature provides many examples of physical systems that are described by deterministic equations of motion, but that nevertheless exhibit nonpredictable behavior. The detailed description of turbulent motions remains perhaps the outstanding unsolved problem of classical physics. In recent years, however, a new theory has been formulated that succeeds in making quantitative predictions describing certain transitions to turbulence. Its significance lies in its possible application to large classes (often very dissimilar) of nonlinear systems. Since the publication of Universality in Chaos in 1984, progress has continued to be made in our understanding of nonlinear dynamical systems and chaos. This second edition extends the collection of articles to cover recent developments in the field, including the use of statistical mechanics techniques in the study of strange sets arising in dynamics. It concentrates on the universal aspects of chaotic motions, the qualitative and quantitative predictions that apply to large classes of physical systems. Much like the previous edition, this book will be an indispensable reference for researchers and graduate students interested in chaotic dynamics in the physical, biological, and mathematical sciences as well as engineering.
Download or read book Symmetry in Chaos written by Michael Field and published by SIAM. This book was released on 2009-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry suggests order and regularity whilst chaos suggests disorder and randomness. 'Symmetry in Chaos' is an exploration of how combining seemingly contradictory principles can lead to the construction of striking and beautiful images. This book is an engaging look at the interplay of art and mathematics.
Download or read book The Essence Of Chaos written by Flavio Lorenzelli and published by CRC Press. This book was released on 2003-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.
Download or read book Chaos in Dynamical Systems written by Edward Ott and published by Cambridge University Press. This book was released on 2002-08-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
