The Science of Complexity

12/1/97


Click here to start


Table of Contents

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

Author: J. C. Sprott

Email: sprott@juno.physics.wisc.edu

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