Strange Attractors From Art to Science

7/30/97


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Table of Contents

Strange Attractors From Art to Science

Outline

Typical Experimental Data

Determinism

Example (2-D Quadratic Iterated Map)

Solutions Are Seldom Chaotic

How common is chaos?

A 2-D example (Hénon map)

Mandelbrot set

General 2-D quadratic map

Probability of chaotic solutions

% Chaotic in neural networks

Examples of strange attractors

Strange attractors

Correlation dimension

Simplest chaotic flow

Chaotic surrogate models

Aesthetic evaluation

References

Author: J. C. Sprott

Email: sprott@juno.physics.wisc.edu

Home Page: http://sprott.physics.wisc.edu/