Title: Chaos theory tamed /
Authors: Williams, Garnett P.
Date: 1997
Publisher: Joseph Henry Press,
Physical description: xvii, 499 p. : ill. ; 24 cm.
Language: English
LC classification: Q
Abstract: "Drawing from mathematics, physics, and statistics, the book provides a 'toolkit' for readers, including vectors, phase space, Fourier analysis, time-series analysis, and autocorrelation. ... Dimension is a basic ingredient of chaos, and Williams brings clarity to the many ways in which this term is used by specialists in the field."--Jacket.
Contents: pt. 1. Background. Introduction -- Chaos in perspective -- pt. 2. The auxiliary toolkit. Phase space : the playing field -- Distances and lines in space -- Vectors -- Probability and information -- Autocorrelation -- Fourier analysis -- Preliminary analysis of time-series data -- pt. 3. How to get there from here -- The parameter as king -- Nonchaotic attractors -- Routes to chaos -- Chaotic equations -- pt. 4. Characteristics of chaos. Sensitive dependence on initial conditions -- The chaotic (strange) attractor -- Order within chaos -- Fractal structure -- pt. 5. Phase space signatures. Uncovering determinism -- Attractor reconstruction -- pt. 6. Dimensions -- Background information on dimensions -- Similarity dimension -- Capacity and Hausdorff dimension -- Information dimension -- Correlation dimension -- pt. 7. Quantitative measures of chaos. Lyapunov exponents -- Kolmogorov-Sinai entropy.
Subject headings (LCSH): Chaotic behavior in systems