Coping with Chaos (Wiley Series in Nonlinear Science)

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9780471025566: Coping with Chaos (Wiley Series in Nonlinear Science)
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Demonstrates how a basic knowledge of chaos theory can be used to evaluate chaotic experimental time series data and how to apply the presence of chaos to achieve practical goals. After familiarizing the reader with fundamental concepts of chaos, the text introduces the important topics of dimension, symbolic dynamics, Lyapunov exponents and entropy. Contains extensive reprints from major papers on the subject and concludes with a research bibliography of articles directed toward coping with chaos.

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From the Back Cover:

The first unified presentation of new developments in the analysis and exploitation of chaotic systems... Mathematicians have been aware of chaotic dynamics since Poincaré's work at the turn of the century. But, as the turn of yet another century approaches, physical scientists and engineers have begun to use their understanding of chaos theory to analyze chaotic experimental time series data. Some researchers have even used the presence of chaos to achieve practical goals. To do this, they have had to work with dynamical processes for which the equations were either not known or were too complex to be useful. In other words, they have been coping with chaos. Coping with Chaos is the first book to bring together recent advances in the interpretive and practical applications of chaos, which hold great promise for broad applicability throughout the physical sciences and engineering. Together with an introduction to chaos theory, this book provides detailed reports on methods of analyzing experimental time series data from chaotic systems and studies in which the unique attributes of chaos are put to practical use. Topics discussed in this book include:
* Theory of chaotic dynamics
* Embedding techniques for the analysis of experimental data
* Calculation of dimension and Lyapunov exponents
* Determination of periodic orbits and symbolic dynamics
* Prediction of chaotic time series
* Noise filtering of chaotic data
* Control of chaotic systems
* The use of chaotic signals for communication
* And more

About the Author:

EDWARD OTT is Professor of Electrical Engineering and Physics at the University of Maryland. He received his PhD in electrophysics from Polytechnic University in 1967. He is the author of Chaos in Dynamical Systems. TIM SAUER is Associate Professor of Mathematics at George Mason University, Fairfax, Virginia, and has also taught mathematics at Michigan State University. He received his PhD from the University of California at Berkeley in 1982. JAMES A. YORKE is Professor of Mathematics and Director of the Institute of Physical Science and Technology at the University of Maryland, where he received his PhD in mathematics in 1966.

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