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Author: Christophe Letellier Publisher: World Scientific ISBN: 9814374423 Category : Mathematics Languages : en Pages : 393
Book Description
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.
Author: Christophe Letellier Publisher: World Scientific ISBN: 9814374423 Category : Mathematics Languages : en Pages : 393
Book Description
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.
Author: Flavio Lorenzelli Publisher: CRC Press ISBN: 0203214587 Category : Science Languages : en Pages : 236
Book Description
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.
Author: Mike Field Publisher: ISBN: Category : Computers Languages : en Pages : 238
Book Description
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
Author: Tom Mullin Publisher: ISBN: 9781383026771 Category : Chaotic behavior in systems Languages : en Pages : 0
Book Description
This text captures the excitement of the expert contributors working at the forefront of this new area of science, detailing the latest developments in the different fields; from physics to biology, chemistry, the weather, quantum mechanics, and engineering. The nature of chaos is an edited and updated version of a highly popular lecture series given in Oxford focussing on the applications of ideas from dynamical systems theory. The interdisciplinary nature of the text makes it accessible to the non-specialist but also includes the technical details often lacking in other books on chaos - making this a comprehensive, lively account of the field. ranging.
Author: Ilya Prigogine Publisher: Verso Books ISBN: 1786631024 Category : Science Languages : en Pages : 385
Book Description
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.
Author: Paris Arnopoulos Publisher: Nova Publishers ISBN: 9781590339671 Category : Psychology Languages : en Pages : 324
Book Description
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.
Author: Letellier Christophe Publisher: World Scientific ISBN: 9811201218 Category : Science Languages : en Pages : 436
Book Description
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.
Author: Garnett Williams Publisher: CRC Press ISBN: 1482295415 Category : Mathematics Languages : en Pages : 518
Book Description
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Author: Hans Degn Publisher: Springer Science & Business Media ISBN: 1475796315 Category : Science Languages : en Pages : 319
Book Description
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.
Author: Christophe Letellier
Author: Christophe Letellier
Author: Flavio Lorenzelli
Author: Mike Field
Author: James Gleick
Author: Tom Mullin
Author: Ilya Prigogine
Author: Paris Arnopoulos
Author: Letellier Christophe
Author: Garnett Williams
Author: Hans Degn