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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
Höhe: 26 cm
Breite: 18.5 cm
Gewicht
ISBN-13
978-0-471-02556-6 (9780471025566)
Schweitzer Klassifikation
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.
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.