Chaos and Time-Series Analysis

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Julien Clinton Sprott (, Department of Physics, University of Wisconsin, Madison)

Chaos and Time-Series Analysis

Julien Clinton Sprott (, Department of Physics, University of Wisconsin, Madison)

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English

Oxford University Press
01 February 2003

Probability & statistics; Non-linear science; Chaos theory; Applied physics; Engineering: general

An introduction to developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems. Most of the important elementary concepts in nonlinear dynamics are discussed, with emphasis on the physical concepts and useful results rather than mathematical proofs and derivations. While many books on chaos are purely qualitative and many others are highly mathematical, this book fills the middle ground by giving the essential equations, but in the simplest possible form. It assumes only an elementary knowledge of calculus. Complex numbers, differential equations, and vector calculus are used in places, but those tools are described as required. The book is aimed at the student, scientist, or engineer who wants to learn how to use the ideas in a practical setting. It is written at a level suitable for advanced undergraduate and beginning graduate students in all fields of science and engineering.

By: Julien Clinton Sprott ( Department of Physics University of Wisconsin Madison)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 232mm, Width: 156mm, Spine: 29mm
Weight: 1g
ISBN: 9780198508403
ISBN 10: 0198508409
Pages: 530
Publication Date: 01 February 2003
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Preface 1: Introduction 2: One-dimensional maps 3: Nonchaotic multidimensional flows 4: Dynamical systems theory 5: Lyapunov exponents 6: Strange attractors 7: Bifurcations 8: Hamiltonian chaos 9: Time-series properties 10: Nonlinear prediction and noise reduction 11: Fractals 12: Calculation of fractal dimension 13: Fractal measure and multifractals 14: Nonchaotic fractal sets 15: Spatiotemporal chaos and complexity A: Common chaotic systems B: Useful mathematical formulas C: Journals with chaos and related papers Bibliography Index

Professor Julien Clinton Sprott Department of Physics University of Wisconsin-Madison 1150 University Avenue Madison Wisconsin 53706 USA Tel: 001-608-263-4449 Email: sprott@physics.wisc.edu http://sprott.physics.wisc.edu/