Encyclopedia of Nonlinear Science / Edition 1

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Overview

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

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Product Details

  • ISBN-13: 9781579583859
  • Publisher: Taylor & Francis
  • Publication date: 9/1/2004
  • Edition number: 1
  • Pages: 1104
  • Product dimensions: 8.90 (w) x 11.20 (h) x 2.20 (d)

Meet the Author

Alwyn Scott is Emeritus Professor of Mathematics at the University of Arizona and a former professor of informatics and mathematical modelling at the Technical University of Denmark.

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Table of Contents

Selected Contents:
Algorithmic complexity
Ball lightning
Biological evolution
Boundary value problems
Butterfly effect
Cardiac arrhythmias and electrocardiogram
Cellular automata
Chaos vs. turbulence
Controlling chaos
Determinism
Dynamical systems
Emergence
Fluid dynamics
Fractals
Game of life
Laboratory models of nonlinear waves
Monte-Carlo methods
Multidimensional solitons
Neural network models
Nonequilibrium statistical mechanics
Nonlinear optics
Nonlinear Schrodinger equations
Nonlinear toys
Numerical methods
Order from chaos
Partial differential equations, nonlinear
Period doubling
Perturbation theory
Population dynamics
Quantum chaos
Random matrix theory
Reaction diffusion systems
Sandpile model
Spatio-temporal chaos
Sine—Gordon (SG) equation
Stochastic analyses of neural systems
Symmetry groups
Tacoma Narrows Bridge collapse
Threshold phenomena
Universality
Vortex dominated flows
Wave stability and instability
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