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
Email: [email protected]
Home Page: http://sprott.physics.wisc.edu/