Coping with Chaos

Fülszöveg

The first unified presentation of new developments in the analysis and éxploitation 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 experimentál time series data. Somé 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... Tovább

Fülszöveg

The first unified presentation of new developments in the analysis and éxploitation 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 experimentál time series data. Somé 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 experimentál 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: B Theory of chaotic dynamics ¦ Embedding techniques for the analysis of experimentál data ¦ Calculation of dimension and Lyapunov exponents ¦ Determination of periodic orbits and symbolic dynamics ¦ Prediction of chaotic time series ¦ Nőise filtering of chaotic data ¦ Control of chaotic systems ¦ The use of chaotic signals for communication ¦ And more 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. TüVl SAUER is A^sociate Professor of Mathematics at George Mason University, Fairfax, Virginia, and has alsó taught mathematics at Michigan State University. He received his PhD from the University of California at Berkeley in 1982. JAMES A. YORKÉ 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. Vissza