Chaos Theory Tamed /

"This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanation's of many key concepts, such as Kolmogrov-Sinai...

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Bibliographic Details
Main Author:	Williams, Garnett (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, 2014.
Edition:	First edition.
Subjects:	Mathematical Physics Algebra Mathematical physics. Algebra. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

part PART I: BACKGROUND
chapter 1 Introduction
chapter 2 Chaos in perspective
part PART II: THE AUXILIARY TOOLKIT
chapter 3 Phase space-the playing field
chapter 4 Distances and lines in space
chapter 5 Vectors
chapter 6 Probability and information
chapter 7 Autocorrelation
chapter 8 Fourier analysis
chapter 9 Preliminary analysis of time-series data
part PART III: HOW TO GET THERE FROM HERE
chapter 10 The parameter as king
chapter 11 Nonchaotic attractors
chapter 12 Routes to chaos
chapter 13 Chaotic equations
part PART IV: CHARACTERISTICS OF CHAOS
chapter 14 Sensitive dependence on initial conditions
chapter 15 The chaotic (strange) attractor
chapter 16 Order within chaos
chapter 17 Fractal structure
part PART V: PHASE SPACE SIGNATURES
chapter 18 Uncovering determinism
chapter 19 Attractor reconstruction
chapter 20 Background information on dimensions
chapter 21 Similarity dimension
chapter 22 Capacity and Hausdorff dimension
chapter 23 Information dimension
chapter 24 Correlation dimension
part PART VII: QUANTITATIVE MEASURES OF CHAOS
chapter 25 Lyapunov exponents
chapter 26 Kolmogorov-Sinai entropy
chapter 27 Mutual information and redundancy.