Strange Attractors From Art to Science

6/21/2000


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Table of Contents

Strange Attractors From Art to Science

Outline

Typical Experimental Data

General 2-D Iterated Quadratic Map

Solutions Are Seldom Chaotic

How common is chaos?

A 2-D Example (Hénon Map)

General 2-D Quadratic Map

Probability of Chaotic Solutions

Neural Net Architecture

% Chaotic in Neural Networks

Types of Attractors

Strange Attractors

Stretching and Folding

Correlation Dimension

Lyapunov Exponent

Aesthetic Evaluation

Sprott (1997)

Linz and Sprott (1999)

First Circuit

Bifurcation Diagram for First Circuit

Second Circuit

Third Circuit

Chaos Circuit

Summary

Author: J. C. Sprott

Email: sprott@juno.physics.wisc.edu

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