Coping with chaos : analysis of chaotic data and the exploitation of chaotic systems
著者
書誌事項
Coping with chaos : analysis of chaotic data and the exploitation of chaotic systems
(Wiley series in nonlinear science)
J. Wiley, c1994
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
BACKGROUND. Dimension. Symbolic Dynamics. Lyapunov Exponents and Entropy. The Theory of Embedding. ANALYSIS OF DATA FROM CHAOTIC SYSTEMS. The Practice of Embedding. Dimension Calculations. Calculation of Lyapunov Exponents. Periodic Orbits and Symbolic Dynamics. PREDICTION, FILTERING, CONTROL AND COMMUNICATION IN CHAOTIC SYSTEMS. Prediction. Noise Reduction. Control: Theory of Stabilization of Unstable Orbits. Control: Experimental Stabilization of Unstable Orbits. Control: Targeting and Goal Dynamics. Synchronism and Communication. Bibliography. Index.
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