The Science of Complexity
Outline
Dynamical Systems
Examples of Dynamical Systems
Chaos and Complexity
Typical Experimental Data
Characteristics of Chaos
A Planet Orbiting a Star
The Logistic Map
The Hénon Attractor
General 2-D Quadratic Map
Strange Attractors
Stretching and Folding
Artificial Neural Networks
% Chaotic in Neural Networks
Mandelbrot Set
Mandelbrot Images
Fractals
Diffusion-Limited Aggregation
Natural Fractals
Spatio-Temporal Chaos
Diffusion (Random Walk)
The Chaos Game
1-D Cellular Automata
The Game of Life
Langton’s Ants
Dynamics of Complex Systems
Summary
References
Email: sprott@juno.physics.wisc.edu
Home Page: https://sprott.physics.wisc.edu/