Lorenz Attractor

The Lorenz equations were first constructed as a simple model of atmospheric convection, but became popular for the notion of Sensitivity to Initial Conditions, referred to in popular culture as the …

Chaos Butterfly Effect Nonlinear Dynamics
Logistic Map

A very simple quadratic map serves to demonstrate some of the most fundamental concepts in chaos theory: the period doubling cascade to chaos, exponential sensitivity to initial conditions, and …

Chaos Period Doubling Education
Busy Beaver

Getting the most from the least: for a given size of Turing machine, which set of rules generates the largest output? This deceptively simple question gets into the heart of non-computability.

Computability Turing Machines