One-Dimensional Dynamical Systems
Part 3: Iteration
Iterates versus time
The most intuitive way of vizualizing an orbit is by plotting the
iterates versus time. Such time series were also produced in
Part 2. Typically, measurements
in experiments form such a time series. A lot of theory in dynamical
systems is developed for constructing a model, i.e. an expression for
the underlying function, out of the measurements.
Plotting iterates versus time for the Logistic map.
Iterates versus time can be plotted with the following software. If you are using a Macintosh computer, follow the instructions for the software Chaos and Dynamics. On the other machines, you should follow the instructions for using Mathematica.
Written by Hinke Osinga
Comments to: email@example.com
Created: Apr 1 1998 --- Last modified: Thu Apr 9 14:56:17 1998