Chaos and Nonlinear Dynamics

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ID: 294597
2000
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Abstract
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 correlation dimensions are treated in detail. Several appendices provide a detailed derivation of the Lorenz model from the Navier-Stokes equation, a summary of bifurcation theory, and some simple computer programs to study nonlinear dynamics. Each chapter includes an extensive, annotated bibliography.
Reference Key
openalex_W2489691424 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Robert C. Hilborn
Journal Oxford University Press eBooks
Year 2000
DOI
10.1093/acprof:oso/9780198507239.001.0001
URL
https://doi.org/10.1093/acprof:oso/9780198507239.001.0001
Keywords Keywords not found

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