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Chaos and Life

Author: Richard J. Bird

Publisher: Columbia University Press

Published: 2003-11-26

Total Pages: 342

ISBN-13: 9780231501552

Why, in a scientific age, do people routinely turn to astrologers, mediums, cultists, and every kind of irrational practitioner rather than to science to meet their spiritual needs? The answer, according to Richard J. Bird, is that science, especially biology, has embraced a view of life that renders meaningless the coincidences, serendipities, and other seemingly significant occurrences that fill people's everyday existence. Evolutionary biology rests on the assumption that although events are fundamentally random, some are selected because they are better adapted than others to the surrounding world. This book proposes an alternative view of evolving complexity. Bird argues that randomness means not disorder but infinite order. Complexity arises not from many random events of natural selection (although these are not unimportant) but from the "playing out" of chaotic systems—which are best described mathematically. When we properly understand the complex interplay of chaos and life, Bird contends, we will see that many events that appear random are actually the outcome of order.

From Newton to Chaos

Author: Archie E. Roy

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 573

ISBN-13: 1489910859

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The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Complexity, Chaos, and Biological Evolution

Author: Erik Mosekilde

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 417

ISBN-13: 1468478478

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From time to time, perhaps a few times each century, a revolution occurs that questions some of our basic beliefs and sweeps across otherwise well guarded disciplinary boundaries. These are the periods when science is fun, when new paradigms have to be formulated, and when young scientists can do serious work without first having to acquire all the knowledge of their teachers. The emergence of nonlinear science appears to be one such revolution. In a surprising manner, this new science has disclosed a number of misconceptions in our traditional understanding of determinism. In particular, it has been shown that the notion of predictability, according to which the trajectory of a system can be precisely determined if one knows the equations of motion and the initial conditions, is related to textbook examples of simple; integrable systems. This predictability does not extend to nonlinear, conservative systems in general. Dissipative systems can also show unpredictability, provided that the motion is sustained by externally supplied energy and/or resources. These discoveries, and the associated discovery that even relatively simple nonlinear systems can show extremely complex behavior, have brought about an unprecedented feeling of common interest among scientists from many different disciplines. During the last decade or two we have come to understand that there are universal routes to chaos, we have learned about stretching and folding, and we have discovered the beautiful fractal geometry underlying chaotic attractors.

Evolution of Order and Chaos

Author: Hermann Haken

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 294

ISBN-13: 364268808X

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These proceedings contain the invited lectures presented at the International Sym posium on Synergetics at Schloss Elmau in April, 1982. This symposium marked the th 10 anniversary of symposia on synergetics, the first of which was held at Schloss Elmau in 1972. As is now weIl known, these symposia are devoted to the study of the formation of structures in physical systems far from thermal equilibrium, as weIl as in nonphysical systems such as those in biology and sociology. While the first proceedings were published by Teubner Publishing Company in 1973 and the second by North Holland Publishing Company in 1974, the subsequent proceed ings have been published in the Springer Series in Synergetics. I believe that these proceedings give a quite faithful picture of the developments in this new interdisciplinary field over the past decade. As H.J. Queisser recently noted, the prefix "non", which is used quite frequent ly in modern scientific literature in words such as "nonequilibrium", "nonlinear", etc., indicates a new development in scientific thinking. Indeed, this new develop ment was anticipated and given a framework in the introduction of "synergetics" more than a decade ago.

Out of Chaos

Author: Wayne M. Bundy

Publisher: Universal-Publishers

Published: 2007-12

Total Pages: 526

ISBN-13: 1581129793

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Are we really the pinnacle of 4500 million years of evolution? Closely related to the aggressive chimpanzees, have we evolved enough to cope? The nightly news on television, that mervelous technical invention of scientists, no turned into a field too barren to be termed a wastelad, provides little hope that Homo sapiens is more than another of natu

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Author: Sergey Zelik

Publisher: American Mathematical Soc.

Published: 2009-03-06

Total Pages: 112

ISBN-13: 0821842641

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The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.

Nonlinear Workbook, The: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Fuzzy Logic With C++, Java, Symbolicc++ And Reduce Programs

Author: Willi-hans Steeb

Publisher: World Scientific Publishing Company

Published: 1999-08-17

Total Pages: 604

ISBN-13: 9814543497

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New Edition: The Nonlinear Workbook (6th Edition)This book provides all the techniques and methods used in nonlinear dynamics. All the concepts are discussed in detail. The numerical and symbolic methods are implemented using C++, Java, SymbolicC++ and Reduce.

The Nonlinear Workbook

Author: Willi-Hans Steeb

Publisher: World Scientific Publishing Company

Published: 2002-12-30

Total Pages: 640

ISBN-13: 9813106093

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The study of nonlinear dynamical systems has advanced tremendously in the last 15 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail. The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 100 ready-to-run programs. The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing. Request Inspection Copy

The Nonlinear Workbook

Author: Willi-Hans Steeb

Publisher: World Scientific Publishing Company

Published: 2014-11-14

Total Pages: 684

ISBN-13: 9814583499

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The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run programs are included. Each chapter provides a collection of interesting problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff's ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian. Request Inspection Copy

The Nonlinear Workbook

Author: Willi-Hans Steeb

Publisher: World Scientific Publishing Company

Published: 2011-03-16

Total Pages: 644

ISBN-13: 9813100702

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The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 150 ready to run programs are included. New topics added to the fifth edition are Langton's ant, chaotic data communication, self-controlling feedback, differential forms and optimization, T-norms and T-conorms with applications.