Chaos, FractalsSome references...:
"A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reducedsize copy of the whole. Fractals are generally selfsimilar and independent of scale". "Chaos is apparently unpredictable behavior arising in a deterministic system because of great sensitivity to initial conditions." Here's logistic.lisp, the file I was working on during the class, it contains functions you can evaluate and examples you can run. You'll also need to compile and load the plot.lisp (plot routines) and the v.ins (the fm violin)... See the output of the bifur1d program in the "Computational Beauty of Nature" examples From the Fractal FAQs
A very nice Java applet that shows the logistics equation in action lorenz.lisp has the Lorenz equation parser and note generator and some examples on its use. The "lorenz" program that's being used in the previous examples is part of the source code for the book The Computational Beauty of Nature. There's source code available for all examples in the book (look in here for details on programs available and how they work). They have all been downloaded to this directory. The "bin/" subdirectory holds the compiled readytorun binaries for linux. 
©20002003 Fernando LopezLezcano. All Rights Reserved. nando@ccrma.stanford.edu
