chaos

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Chaos

Author : James Gleick
ISBN : 9781453210475
Genre : Science
File Size : 85. 30 MB
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The “highly entertaining” New York Times bestseller, which explains chaos theory and the butterfly effect, from the author of The Information (Chicago Tribune). For centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung to the idea that any system, no matter how complex, could be reduced to a simple pattern. In the 1960s, a small group of radical thinkers began to take that notion apart, placing new importance on the tiny experimental irregularities that scientists had long learned to ignore. Miniscule differences in data, they said, would eventually produce massive ones—and complex systems like the weather, economics, and human behavior suddenly became clearer and more beautiful than they had ever been before. In this seminal work of scientific writing, James Gleick lays out a cutting edge field of science with enough grace and precision that any reader will be able to grasp the science behind the beautiful complexity of the world around us. With more than a million copies sold, Chaos is “a groundbreaking book about what seems to be the future of physics” by a writer who has been a finalist for both the Pulitzer Prize and the National Book Award, the author of Time Travel: A History and Genius: The Life and Science of Richard Feynman (Publishers Weekly).

Chaos A Geometry Of Nature

Author : René Respondek
ISBN : 9783640864195
Genre :
File Size : 28. 27 MB
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Studienarbeit aus dem Jahr 2005 im Fachbereich Mathematik - Geometrie, Note: 1,3, Universitat Osnabruck, Veranstaltung: Seminar: Chaos - Making a new science, 17 Quellen im Literaturverzeichnis, Sprache: Deutsch, Abstract: Es liegt in der Natur des Menschen, komplizierte Sachverhalte zu hinterfragen und zu verstehen. So beschaftigen sich Wissenschaftler seit Jahrhunderten damit, ihre Umwelt und vor allem dort auftauchende, scheinbar chaotische Systeme in eine geordnete und verstandliche Struktur zu bringen. Ein Beispiel hierfur ist die uber zweitausend Jahre gultige Euklidische Geometrie, die als Standardgeometrie ein Bestandteil der klassischen Mathematik ist und unter anderem unsere Umwelt in ein ganzzahlig dimensionales System einordnet. Sie ermoglicht z. B. Daten mittels grafischer Instrumente aufzuarbeiten, zu veranschaulichen und daraus folgend besser analysieren bzw. verstehen zu konnen. Der Wissenschaftler Benoit Mandelbrot hat seit den sechziger Jahren mit seinen wissenschaftlichen Forschungen und seiner Gabe, Muster und Formen intuitiv zu erfassen, ein neues Gebiet der Geometrie erschlossen, das sich auf Grenzen der euklidischen Dimension bezieht. Ausgangspunkt hierfur waren Uberlegungen uber eine bis dahin vollkommen neue Ansicht der geometrischen Welt. Diese zeigt sich in Gebilden mathematischer Monster wie der Koch Kurve, deren Dimensionen nach Mandelbrot den fraktalen Dimensionen" zugeordnet werden. Inwiefern Mandelbrots Erkenntnisse die bis dahin gultige Wissenschaft revolutionierte und der Wissenschaft bis zum heutigen Zeitpunkt neue, leistungsfahige Methoden bereitstellt, wird in den folgenden Kapiteln betrachtet. Zunachst wird in Kapitel 2 auf die Geschichte, die Euklidische Geometrie und ihre Grenzen eingegangen. In Kapitel 3 wird die fraktale Geometrie bzw. die gebrochenzahlige Dimension sowie die Koch Kurve dargestellt, wobei insbesondere das Wesen einer Kustenlinie naher analysiert wird. Zudem wird auf den Begriff der Selbstahnlichkeit eingega"

Chaos Angst Und Ordnung

Author : Jürgen Kriz
ISBN : 9783525404430
Genre : Psychology
File Size : 55. 22 MB
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German description: Jede Ordnung in unserem Leben mussen wir dem allumfassenden Chaos abringen. Die moderne Systemforschung belegt, was schon die alten Weisheitslehren wussten: Wir leben in einer Welt, die als ein einziger komplexer, chaotischer Prozess begriffen werden muss. Der standige Kampf darum, das Chaos zu verbannen, fuhrt allzu oft zu Zwangsstrukturen, die bedrohlich werden und viel Leid mit sich bringen konnen. Aus Angst vor dem Chaos bauen wir verhartende Ordnungen auf, die sich wiederum gegen die Menschen selbst wenden - in der Politik wie in Familien, in Betrieben wie bei Paarbeziehungen, auch bei der Organisation des eigenen Selbst. Jurgen Kriz stellt seine Erfahrungen aus der humanistischen und systemischen Psychotherapie und der Systemforschung in Beziehung zu dem zerstorerischen Potential der wissenschaftlichen Technik und den Bedrohungen unserer Welt. Allgemeinverstandlich legt er die Schlussfolgerungen seiner Einsichten dar: Er mahnt, die Zwangsordnungen zu uberwinden fur mehr Handlungsfreiheit des Menschen. Und er macht Mut, sich der schopferischen Potenziale dieser chaotischen Komplexitat zu bedienen.

Chaos

Author : Richard Kautz
ISBN : 9780199594580
Genre : Mathematics
File Size : 67. 64 MB
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Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.

Chaos

Author : Ilya Prigogine
ISBN : 0819189340
Genre : Science
File Size : 67. 29 MB
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The role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's 'Non-Integrable Systems', by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. Co-published with the Nobel Conference.

Chaos In Biological Systems

Author : Hans Degn
ISBN : 0306426854
Genre : Science
File Size : 69. 54 MB
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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 And Nonlinear Dynamics

Author : Robert C. Hilborn
ISBN : 0198507232
Genre : Mathematics
File Size : 60. 13 MB
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This is a comprehensive introduction to the exciting scientific field of nonlinear dynamics for students, scientists, and engineers, and requires only minimal prerequisites in physics and mathematics. The book treats all the important areas in the field and provides an extensive and up-to-date bibliography of applications in all fields of science, social science, economics, and even the arts.

Chaos

Author : Angelo Vulpiani
ISBN : 9789814277662
Genre : Chaotic behavior in systems
File Size : 36. 67 MB
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Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.

Selbstbehauptung Im Chaos

Author :
ISBN : 3593370425
Genre : Holocaust, Jewish (1939-1945)
File Size : 63. 16 MB
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Emergence

Author : John H. Holland
ISBN : 0192862111
Genre : Mathematics
File Size : 75. 84 MB
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'He's the man who taught computers how to have sex. And now, for an encore, he's working on a theory to explain the complexity of life and its myriad manifestations on planet earth.' New York Times In this book, one of today's most innovative thinkers, John H. Holland, explains the theory of emergence-a simple theory that the whole is greater than the sum of its parts. Emergence demonstrates that a small number of rules or laws can generate incredibly complex systems. From thecheckers-playing computer that learnt to beat its creator again and again, to a fertilized egg that can program the development of a trillion-cell organism, to the ant colonies that build bridges over chasms and navigate leaf-boats on streams, this fascinating and groundbreaking book containswide-ranging implications for science, business, and the arts. 'John Holland is an exceptionally imaginative person. Often surprising, and always engaging, he takes the reader on a journey from simplicity to complexity' Sir Robert May

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