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- catalog 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.".
- catalog contributor b10543330.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description ""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.".
- catalog description "Includes bibliographical references (p. 473-485) and index.".
- catalog description "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.".
- catalog extent "xvii, 499 p. :".
- catalog identifier "0309063515".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "Washington, D.C. : Joseph Henry Press,".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Nonlinear Dynamics.".
- catalog subject "Q172.5.C45 W55 1997".
- catalog tableOfContents "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.".
- catalog title "Chaos theory tamed / Garnett P. Williams.".
- catalog type "text".