We present a number of programs to investigate
and visualize chaos as it occurs
with an iterated application of functions.
We look at ways to picture orbits under repeated
application of a function (in Section 1)
and to draw final-state diagrams (in Section 3).
We discuss symbolic and numerical methods to find
periodic orbits and bifurcation points (Section 2),
as well as
super-attractive orbits
and the Feigenbaum constant (Section 5).
Further topics include statistical analysis
and visualization of
chaotic phenomena such as
sensitivity, mixing, ergodic orbits, and intermittency
(in Section 4).
Overview
Plate 1
