Chaos Theory Tamed

Chaos Theory Tamed

by Garnett P. Williams, A Joseph Henry Press book
     
 

Williams uses lists, graphics, examples, and friendly language to help readers understand the vocabulary and significance of chaos theory. The book will help scientists and students outside mathematics to use the concepts of chaos in working with data and will help interested lay readers grasp the fundamentals. See more details below

Overview

Williams uses lists, graphics, examples, and friendly language to help readers understand the vocabulary and significance of chaos theory. The book will help scientists and students outside mathematics to use the concepts of chaos in working with data and will help interested lay readers grasp the fundamentals.

Product Details

ISBN-13:
9780309063517
Publisher:
National Academies Press
Publication date:
10/08/1997
Series:
Chaos Theory Series
Pages:
29
Product dimensions:
6.34(w) x 9.40(h) x 1.28(d)

Related Subjects

Table of Contents

Preface
Symbols
1Introduction3
2Chaos in perspective9
3Phase space - the playing field23
4Distances and lines in space35
5Vectors49
6Probability and information65
7Autocorrelation97
8Fourier analysis107
9Preliminary analysis of time-series data131
10The parameter as king161
11Nonchaotic attractors175
12Routes to chaos189
13Chaotic equations203
14Sensitive dependence on initial conditions211
15The chaotic (strange) attractor221
16Order within chaos229
17Fractal structure237
18Uncovering determinism247
19Attractor reconstruction265
20Background information on dimensions291
21Similarity dimension301
22Capacity and Hausdorff dimension315
23Information dimension321
24Correlation dimension329
25Lyapunov exponents353
26Kolmogorov - Sinai entropy381
27Mutual information and redundancy407
Epilogue443
AppendixSelected laws of powers, roots and logarithms445
Glossary447
References471
Index485

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