Coping with Chaos: Analysis of Chaotic Data and The Exploitation
of Chaotic Systems
Edward Ott, Univ. of Maryland
Tim Sauer, George Mason Univ.
James A. Yorke, Univ. of Maryland (eds.)
Wiley-Interscience
(Series: Wiley Series in Nonlinear Science)
I-0-471-02556-9 1994 432pp cloth $49.95
Description
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.
Contents
- 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
Market
Graduate Students and Professionals in Physics, Engineering and
Mathematics.