Exploring Chaos

A Guide to the New Science of Disorder

Author: Nina Hall

Publisher: W. W. Norton & Company

ISBN: 9780393312263

Category: Science

Page: 223

View: 6445

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.

Exploring Chaos

Theory And Experiment

Author: Brian Davies

Publisher: CRC Press

ISBN: 0429982496

Category: Mathematics

Page: 256

View: 1043

This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. The theory is developed using only elementary calculus and algebra, and includes dynamics of one-and two-dimensional maps, periodic orbits, stability and its quantification, chaotic behavior, and bifurcation theory of one-dimensional systems. There is an introduction to the theory of fractals, with an emphasis on the importance of scaling, and a concluding chapter on ordinary differential equations. The accompanying software, written in Java, is available online (see link below). The program enables students to carry out their own quantitative experiments on a variety of nonlinear systems, including the analysis of fixed points of compositions of maps, calculation of Fourier spectra and Lyapunov exponents, and box counting for two-dimensional maps. It also provides for visualizing orbits, final state and bifurcation diagrams, Fourier spectra and Lyapunov exponents, basins of attractions, three-dimensional orbits, Poincarections, and return maps. Please visit http://www.maths.anu.edu.au/~briand/chaos/ for the integrated cross-platform software.

Exploring the Geometry of Nature

Computer Modeling of Chaos, Fractals, Cellular Automata, and Neural Networks

Author: Ed Rietman

Publisher: N.A


Category: Computers

Page: 197

View: 9299

The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.

Creed without Chaos

Exploring Theology in the Writings of Dorothy L. Sayers

Author: Laura K. Simmons

Publisher: Baker Academic

ISBN: 0801027373

Category: Religion

Page: 222

View: 9445

Introduces contemporary readers to the lay theological writings of British novelist and playwright Dorothy L. Sayers.

The Chaos Avant-Garde

Memories of the Early Days of Chaos Theory

Author: Ralph Abraham,Yoshisuke Ueda

Publisher: World Scientific

ISBN: 9814492469

Category: Science

Page: 232

View: 4173

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time — two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler. Contents:On How I Got Started in Dynamical Systems 1959–1962 (S Smale)Finding a Horseshoe on the Beaches of Rio (S Smale)Strange Attractors and the Origin of Chaos (Y Ueda)My Encounter with Chaos (Y Ueda)Reflections on the Origin of the Broken-Egg Chaotic Attractor (Y Ueda)The Chaos Revolution: A Personal View (R Abraham)The Butterfly Effect (E Lorenz)I Gumowski and a Toulouse Research Group in the “Prehistoric” Times of Chaotic Dynamics (C Mira)The Turbulence Paper of D Ruelle & F Takens (F Takens)Exploring Chaos on an Interval (T Y Li & J A Yorke)Chaos, Hyperchaos and the Double-Perspective (O E Rössler) Readership: Educators and university students of science and mathematics. Keywords:Chaos Theory;Dynamical Systems Theory;History of Mathematics;Chaotic Attractors;Ueda;Smale;Li and Yorke;Roessler;Lorenz;Ruelle and TakensReviews: “… there are deep insights here into the lives and times of truly creative and ingenious investigators who introduced some wonderful ideas into mathematics and science … I am struck by the stunning contributions of the chaos avant-grade …” Mathematical Reviews

Chaos Theory in the Social Sciences

Foundations and Applications

Author: L. Douglas Kiel,Euel W. Elliott

Publisher: University of Michigan Press

ISBN: 9780472084722

Category: Business & Economics

Page: 349

View: 1798

Applications of chaos theory in political science, economics, and sociology

Chaos Paradigm

A Theological Exploration

Author: Morris A. Inch

Publisher: University Press of America

ISBN: 9780761810612

Category: Religion

Page: 129

View: 9001

In this book, Morris A. Inch probes the relevance of chaos theory for theological studies. The author first studies chaos in the context of Biblical theology, providing a survey of the Biblical narrative that touches on both the Old and the New Testaments. He proceeds with a more systematic approach, offering two representative studies concerning mankind and the Holy Spirit. In the third and final section, Inch delves into subsequent historical developments by means of a study of Augustine's 'The City of God.'

Chaos Imagined

Literature, Art, Science

Author: Martin Meisel

Publisher: Columbia University Press

ISBN: 0231540469

Category: Literary Criticism

Page: 576

View: 2279

The stories we tell in our attempt to make sense of the world—our myths and religion, literature and philosophy, science and art—are the comforting vehicles we use to transmit ideas of order. But beneath the quest for order lies the uneasy dread of fundamental disorder. True chaos is hard to imagine and even harder to represent. In this book, Martin Meisel considers the long effort to conjure, depict, and rationalize extreme disorder, with all the passion, excitement, and compromises the act provokes. Meisel builds a rough history from major social, psychological, and cosmological turning points in the imagining of chaos. He uses examples from literature, philosophy, painting, graphic art, science, linguistics, music, and film, particularly exploring the remarkable shift in the eighteenth and nineteenth centuries from conceiving of chaos as disruptive to celebrating its liberating and energizing potential. Discussions of Sophocles, Plato, Lucretius, Calderon, Milton, Haydn, Blake, Faraday, Chekhov, Faulkner, Wells, and Beckett, among others, are matched with incisive readings of art by Brueghel, Rubens, Goya, Turner, Dix, Dada, and the futurists. Meisel addresses the revolution in mapping energy and entropy and the manifold effect of thermodynamics. He then uses this chaotic frame to elaborate on purpose, mortality, meaning, and mind.

Clinical Chaos

A Therapist's Guide to Nonlinear Dynamics and Therapeutic Change

Author: Linda L. Chamberlain,Michael R. Bütz

Publisher: Psychology Press

ISBN: 9780876309261

Category: Psychology

Page: 225

View: 1350

First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

Chaos and Fractals

New Frontiers of Science

Author: Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe

Publisher: Springer Science & Business Media

ISBN: 1475747403

Category: Mathematics

Page: 999

View: 964

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.

Life's Ratchet

How Molecular Machines Extract Order from Chaos

Author: Peter M. Hoffmann

Publisher: Basic Books

ISBN: 0465022537

Category: Science

Page: 278

View: 3075

A physicist describes how life emerges from the random motion of atoms through sophisticated cellular machinery and describes the long quest to determine the true nature of life from ancient Greece to the study of modern nanotechnology. 20,000 first printing.

Design, Form, and Chaos

Author: Paul Rand

Publisher: Yale University Press

ISBN: 0300230915


Page: 240

View: 1257

"To have the preeminent graphic designer in America--the leading proponent of the Modern--intelligently and forcefully speak out makes this a document for today and the ages. Rand's book is a classic." --Stephen Heller (1993) Paul Rand (1914-1996) was a pioneer in the field of advertising design and typography, and his work still exerts a profound influence on the design profession. First published to critical acclaim in 1993, and long unavailable, Design, Form, and Chaos is now back in print. Exploring graphic design challenges such as the values behind aesthetics, the role of intuition, selecting a typeface, and the place of market research, the book elegantly demonstrates how utility and beauty can be effectively combined. Illustrated with examples of Rand's own remarkable graphic design, as well as with the work of artists he admired, the book features seven portfolios that he used to present logos to clients such as Next, IDEO, and IBM. Clearly one of the most important books in the history of 20th-century American design, Design, Form, and Chaos is a must have for any student or professional.

Controlling Chaos and Bifurcations in Engineering Systems

Author: Guanrong Chen

Publisher: CRC Press

ISBN: 9780849305795

Category: Technology & Engineering

Page: 672

View: 564

Over the last two decades, chaos in engineering systems has moved from being simply a curious phenomenon to one with real, practical significance and utility. Engineers, scientists, and mathematicians have similarly advanced from the passive role of analyzing chaos to their present, active role of controlling chaos-control directed not only at suppression, but also at exploiting its enormous potential. We now stand at the threshold of major advances in the control and synchronization of chaos for new applications across the range of engineering disciplines. Controlling Chaos and Bifurcations in Engineering Systems provides a state-of-the-art survey of the control-and anti-control-of chaos in dynamical systems. Internationally known experts in the field join forces in this volume to form this tutorial-style combination of overview and technical report on the latest advances in the theory and applications of chaos control. They detail various approaches to control and show how designers can use chaos to create a wider variety of properties and greater flexibility in the design process. Chaos control promises to have a major impact on novel time- and energy-critical engineering applications. Within this volume, readers will find many challenging problems-yet unsolved-regarding both the fundamental theory and potential applications of chaos control and anti-control. Controlling Chaos and Bifurcations in Engineering Systems will bring readers up-to-date on recent development in the field and help open the door to new advances.

Chaos Theory

Author: Robert P. Murphy

Publisher: Ludwig von Mises Institute

ISBN: 1610165098

Category: Anarchism

Page: 74

View: 1352


Education and Conflict

Complexity and Chaos

Author: Lynn Davies

Publisher: Routledge

ISBN: 1134408978

Category: Education

Page: 264

View: 8298

First-place winner of the Society for Education Studies' 2005 book prize, Education and Conflict is a critical review of education in an international context. Based on the author's extensive research and experience of education in several areas afflicted by conflict, the book explores the relationship between schooling and social conflict and looks at conflict internal to schools. It posits a direct link between the ethos of a school and the attitudes of future citizens towards 'others'. It also looks at the nature and purpose of peace education and war education, and addresses the role of gender and masculinity. In five lucid, vigorously argued sections, the author brings this thought-provoking and original piece of work to life by: * Setting out the terms of the debate, defining conflict and peace and outlining the relevant aspects of complexity theory for education * Exploring the sources of conflict and their relations to schooling in terms of gender/masculinity, pluralism, nationalism and identity * Focusing on the direct education/war interface * Examining educational responses to conflict * Highlighting conflict resolution within the school itself. This is the first time that so many aspects of conflict and education have been brought together in one sustained argument. With its crucial exposure of the currently culpable role of formal schooling in maintaining conflict, this book will be a powerful and essential read for educational policy makers, managers, teachers and researchers dealing with conflict in their own contexts.

Chaos and Grace

Discovering the Liberating Work of the Holy Spirit

Author: Mark Galli

Publisher: Baker Books

ISBN: 1441234306

Category: Religion

Page: 192

View: 4519

It's no secret that we are addicted to control. We work to control our time, our TVs, our weight, and even our faith lives. We strive for efficiency and quantifiable results. But all that control, we soon find out, is exhausting. And it is contrary to God's plan for us. In Chaos and Grace, Mark Galli offers readers freedom from the need for control and order by reintroducing them to the mysterious work of the Holy Spirit. In this insightful book, Galli exposes our individual mistakes and the church's foibles and points the way to grace--which, as it happens, usually lies through chaos and crisis. Through Scripture he shows us that this problem is not unique to modern believers and helps us learn from the stories of God's people through the ages as they gave up and gave in to the transforming work of the Holy Spirit.


Author: Morris Inch

Publisher: iUniverse

ISBN: 0595486606

Category: Religion

Page: 168

View: 1090

The writer brings to bear virtually the experience of a lifetime to address three critical concerns: Common Sense and the Conspiracies, Covenant Echoes, and Amos Still Speaks! As for common sense, the problem is that it is so uncommon. The second topic considers the relevance of the covenant perspective for daily life. Along this line, it is said that the simplest form of covenant is the common meal. The ancient practice of hospitality expands on this notion. This text extends the subject further with a discussion of marriage, political foundations, voluntary associations, and paradigm shifts. The final topic examines the relevance of Amos for today. This is in keeping with the conviction that the more some things change, the more other matters remain constant. Then, too, if we fail to learn from the past, we are destined to repeat its tragic failures. While quite distinct, these three projects served to incite the reader to take scriptural teaching more seriously.

An exploration of chaos

an introduction for natural scientists and engineers

Author: John H. Argyris,Gunter Faust,María Haase

Publisher: North Holland


Category: Science

Page: 751

View: 7002


Orphans of Chaos

A Fantasy Novel

Author: John C. Wright

Publisher: Tor Books

ISBN: 9781429915632

Category: Fiction

Page: 320

View: 3948

John C. Wright burst onto the SF scene with the Golden Age trilogy. His next project was the ambitious fantasy sequence, The Last Guardians of Everness. Wright's new fantasy is a tale about five orphans raised in a strict British boarding school who begin to discover that they may not be human beings. The students at the school do not age, while the world around them does. The children begin to make sinister discoveries about themselves. Amelia is apparently a fourth-dimensional being; Victor is a synthetic man who can control the molecular arrangement of matter around him; Vanity can find secret passageways through solid walls where none had previously been; Colin is a psychic; Quentin is a warlock. Each power comes from a different paradigm or view of the inexplicable universe: and they should not be able to co-exist under the same laws of nature. Why is it that they can? The orphans have been kidnapped from their true parents, robbed of their powers, and raised in ignorance by super-beings no more human than they are: pagan gods or fairy-queens, Cyclopes, sea-monsters, witches, or things even stranger than this. The children must experiment with, and learn to control, their strange abilities in order to escape their captors. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.