Coping With Chaos Analysis of Chaotic Data and the Exploitation of Chaotic Systems

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 dynamicsEmbedding techniques for the analysis of experimental dataCalculation of dimension and Lyapunov exponentsDetermination of periodic orbits and symbolic dynamicsPrediction of chaotic time seriesNoise filtering of chaotic dataControl of chaotic systemsThe use of chaotic signals for communicationAnd moreOtt, Edward is the author of 'Coping With Chaos Analysis of Chaotic Data and the Exploitation of Chaotic Systems' with ISBN 9780471025566 and ISBN 0471025569.