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Chaos and Nonlinear Dynamics
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Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Robert C. Hilborn

Abstract

This book introduces the full range of activity in the rapidly growing field of nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a detailed derivation of the famous Feigenbaum numbers). It includes the increasingly important field of pattern formation and a survey of the controversial question of quantum chaos. Important tools such as Lyapunov exponents, fractal dimensions, and corr ... More

Keywords: chaos, nonlinear dynamics, dynamical systems, fractals, quantum chaos

Bibliographic Information

Print publication date: 2000 Print ISBN-13: 9780198507239
Published to Oxford Scholarship Online: January 2010 DOI:10.1093/acprof:oso/9780198507239.001.0001

Authors

Affiliations are at time of print publication.

Robert C. Hilborn, author
University of Nebraska-Lincoln