This image shows how a basic mechanical system can produce both order and chaos. The dots are actually points on a plot: each point shows the angle (x-axis) and speed (y-axis) of an imaginary rotor (like a helicopter blade spinning without friction or air resistance) at a single moment in time. This map is the result of 1,000 imaginary trials: during each one, the blade begins at a different angle and velocity, and its trajectory is mapped every second for 100 seconds. As the process repeats, the plotted points begin to form an image composed, in some areas, of highly regular patterns, and, in others, of scattered, randomly arranged dots.
Via Sakis Koukouvis