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OverviewThis text provides an introduction to the exciting new 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. Full Product DetailsAuthor: Julien Clinton Sprott (, Department of Physics, University of Wisconsin, Madison)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.20cm , Height: 3.30cm , Length: 24.10cm Weight: 0.948kg ISBN: 9780198508397ISBN 10: 0198508395 Pages: 528 Publication Date: 16 January 2003 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface 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 IndexReviews`... well balanced ... excellent style.' W. Kinsner, University of Manitoba ... comprehensive ... most suitable for systematic study but can also serve as a useful reference work in your library ... an indispensable addition to my bookshelf ... the explanations and support material will fill in the necessary updating of your mathematics ... The extensive and evolving website back-up makes the book unique and even more valuable. It stays up to date as the field evolves. The book is thus perfect for self-instruction, or for use as a classroom textbook, and of course, as a reference work for workers in any field of science. Nonlinear Dynamics in Psychology and Life Sciences `... well balanced ... excellent style.' W. Kinsner, University of Manitoba Author InformationProfessor 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/ Tab Content 6Author Website:Countries AvailableAll regions |