Chaos in Nature

Chaos in Nature
Author: Christophe Letellier
Publisher: World Scientific
Total Pages: 393
Release: 2013
Genre: Mathematics
ISBN: 9814374423

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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 — a three-body problem — and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using “Newtonian” mechanics. Henri Poincaré'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, etc.

Symmetry in Chaos

Symmetry in Chaos
Author: Mike Field
Publisher:
Total Pages: 238
Release: 1995
Genre: Computers
ISBN:

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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 Essence Of Chaos

The Essence Of Chaos
Author: Flavio Lorenzelli
Publisher: CRC Press
Total Pages: 236
Release: 2003-09-02
Genre: Science
ISBN: 0203214587

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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.

Order Out of Chaos

Order Out of Chaos
Author: Ilya Prigogine
Publisher: Verso Books
Total Pages: 385
Release: 2018-01-23
Genre: Science
ISBN: 1786631024

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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.

Sociophysics

Sociophysics
Author: Paris Arnopoulos
Publisher: Nova Publishers
Total Pages: 324
Release: 2005
Genre: Psychology
ISBN: 9781590339671

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New transdisciplinary studies have been appearing not only in such established areas as biochemistry or social psychology; there are presently emerging inter-scientific fields such as sociobiology, econophysics and last but not least sociophysics. The latter is a renewed attempt to combine the latest natural and social science theories and come up with significant generalisations for both. Using the powerful physics metaphor as an inertial guidance system, sociophysics emphasises the underlying similarities between all systems. This new scientific hybrid is raising much controversy as well as revealing great promise; for this reason, it has been chosen to provide the core and focus for this book. The holistic scope of this book makes it an appropriate reference work in many courses, such as: Global Ecology; Evolutionary Biology; Macroeconomics; Sociological Theory; Philosophy of Social Science; Theoretical Physics; Thermodynamics; Macro-history; Behavioural Science; General Systems Theory; and Interdisciplinary Studies.

Nature's Chaos

Nature's Chaos
Author: James Gleick
Publisher: Grand Central Publishing
Total Pages: 116
Release: 2001-01-01
Genre: Nature
ISBN: 0759521182

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With 102 spectacular full-color photos, this fascinating "field guide" explores the world's natural disorder.

Chaos in Biological Systems

Chaos in Biological Systems
Author: Hans Degn
Publisher: Springer Science & Business Media
Total Pages: 319
Release: 2013-06-29
Genre: Science
ISBN: 1475796315

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In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.

Chaos In Nature (Second Edition)

Chaos In Nature (Second Edition)
Author: Letellier Christophe
Publisher: World Scientific
Total Pages: 436
Release: 2019-04-26
Genre: Science
ISBN: 9811201218

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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.

Chaos in Ecology

Chaos in Ecology
Author: J. M. Cushing
Publisher: Elsevier
Total Pages: 248
Release: 2003
Genre: Mathematics
ISBN: 9780121988760

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Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.

Surfing the Edge of Chaos

Surfing the Edge of Chaos
Author: Richard Pascale
Publisher: Currency
Total Pages: 336
Release: 2001-03-01
Genre: Business & Economics
ISBN: 0609504096

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Every few years a book changes the way people think about a field. In psychology there is Daniel Goleman's Emotional Intelligence. In science, James Gleick's Chaos. In economics and finance, Burton Malkiel's A Random Walk Down Wall Street. And in business there is now Surfing the Edge of Chaos by Richard T. Pascale, Mark Millemann, and Linda Gioja. Surfing the Edge of Chaos is a brilliant, powerful, and practical book about the parallels between business and nature -- two fields that feature nonstop battles between the forces of tradition and the forces of transformation. It offers a bold new way of thinking about and responding to the personal and strategic challenges everyone in business faces these days. Pascale, Millemann, and Gioja argue that because every business is a living system (not just as metaphor but in reality), the four cornerstone principles of the life sciences are just as true for organizations as they are for species. These principles are: Equilibrium is death. Innovation usually takes place on the edge of chaos. Self-organization and emergence occur naturally. Organizations can only be disturbed, not directed. Using intriguing, in-depth case studies (Sears Roebuck, Monsanto, Royal Dutch Shell, the U.S. Army, British Petroleum, Hewlett Packard, Sun Microsystems), Surfing the Edge of Chaos shows that in business, as in nature, there are no permanent winners. There are just companies and species that either react to change and evolve, or get left behind and become extinct. Some examples: Parallels between Yellowstone National Park and Sears show why equilibrium is a dangerous place in both nature and business. How Monsanto used a "strange attractor" to move to the edge of chaos to alter its identity and transform its culture. The unlikely story of how the U.S. Army embraced the ideas of self-organization and emergence. Why the misapplication of linear logic (reengineering a business or attempting to eradicate predators in nature) will inevitably fail. The stories in Surfing the Edge of Chaos are of pioneering efforts that show how the principles of living systems produce bottom-line impact and profound transformational change. What's really striking about them, though, is their reality. They are about success and failure, breakthroughs and dead-ends. In short, they are like the business you are in and the challenges you face.