Universality In Chaos
Download Universality In Chaos full books in PDF, epub, and Kindle. Read online free Universality In Chaos ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Predrag Cvitanović |
Publisher | : |
Total Pages | : 534 |
Release | : 1984 |
Genre | : Science |
ISBN | : |
Nature provides many examples of physical systems which are described by deterministic equations of motion, but which nevertheless exhibit non-predictable behaviour. The detailed description of turbulent motions remain perhaps the outstanding unsolved problem of classical physics. In recent years, however, a new theory has been formulated which succeeds in making quantitative predictions describing certain transitions to turbulence. Its significance lies in its possible application to large classes (often very dissimilar) of nonlinear systems. The introduction to this book provides an intuitive account of the key idea of phase-space trajectories, Poincaré maps, bifurcations and local universality which are common to all nonlinear dynamical systems. The 41 collected papers which follow fall into four groups. The first section is a general introduction to deterministic chaos and universality. The next 12 articles emphasise the experimental evidence for the theory, with examples drawn from chemistry, biology, optics, electronics and fluid mechanics. A survey of some detailed theoretical considerations is followed by a section which looks forward to further developments inspired by the success of the one-dimensional theory.
Author | : David P. Feldman |
Publisher | : Princeton University Press |
Total Pages | : 262 |
Release | : 2019-08-06 |
Genre | : Mathematics |
ISBN | : 0691161526 |
Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder. Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.
Author | : Heinz Georg Schuster |
Publisher | : Jacaranda |
Total Pages | : 304 |
Release | : 1988 |
Genre | : Science |
ISBN | : |
Author | : Steven H. Strogatz |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 0429961111 |
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author | : Eryk Infeld |
Publisher | : Cambridge University Press |
Total Pages | : 416 |
Release | : 2000-07-13 |
Genre | : Mathematics |
ISBN | : 9780521635578 |
The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Author | : Robert C. Hilborn |
Publisher | : Oxford University Press, USA |
Total Pages | : 720 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : |
Mathematics of Computing -- Miscellaneous.
Author | : Fritz Haake |
Publisher | : Springer Science & Business Media |
Total Pages | : 491 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662045060 |
This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
Author | : Manfred Schroeder |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2009-08-21 |
Genre | : Science |
ISBN | : 0486472043 |
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Author | : Garnett Williams |
Publisher | : CRC Press |
Total Pages | : 518 |
Release | : 1997-09-09 |
Genre | : Mathematics |
ISBN | : 1482295415 |
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 | : L. Douglas Kiel |
Publisher | : University of Michigan Press |
Total Pages | : 358 |
Release | : 2009-11-10 |
Genre | : Political Science |
ISBN | : 0472022520 |
Chaos Theory in the Social Sciences: Foundations and Applications offers the most recent thinking in applying the chaos paradigm to the social sciences. The book explores the methodological techniques--and their difficulties--for determining whether chaotic processes may in fact exist in a particular instance and examines implications of chaos theory when applied specifically to political science, economics, and sociology. The contributors to the book show that no single technique can be used to diagnose and describe all chaotic processes and identify the strengths and limitations of a variety of approaches. The essays in this volume consider the application of chaos theory to such diverse phenomena as public opinion, the behavior of states in the international arena, the development of rational economic expectations, and long waves. Contributors include Brian J. L. Berry, Thad Brown, Kenyon B. DeGreene, Dimitrios Dendrinos, Euel Elliott, David Harvey, L. Ted Jaditz, Douglas Kiel, Heja Kim, Michael McBurnett, Michael Reed, Diana Richards, J. Barkley Rosser, Jr., and Alvin M. Saperstein. L. Douglas Kiel and Euel W. Elliott are both Associate Professors of Government, Politics, and Political Economy, University of Texas at Dallas.