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
Email: sprott@juno.physics.wisc.edu
Home Page: https://sprott.physics.wisc.edu/