To do and notice:
Click in the window to start a particle in motion around the two
strange attractors. Click again very near to where you clicked the
first time. You should see a new particle following the first very
closely for a while, but as time goes on the small difference between
the paths of the particles increases until they are following
completely non-related paths.
The Lorenz butterfly is significant becasue it illustrates the concept of "sensitive dependence upon initial conditions."
Click in the window to start a Lorenz Butterfly.
Used with permission. Copyright 1996, James P. Crutchfield. All rights reserved.