First of all, what is this all about? Read

Lyapunov Exponents Explained

to get some informations about the mathematical background.


Another paper about mathematical backgrounds, this one with some images, focussing on conventional Lyapunov exponents with fixed parameter:

Lyapunov Exponents with Fixed Parameter r


To compute your own images, you can use my fast

Lyapunov Java Applet


I also made three pages with images

The first shows the results of a bug in the computation:

Lyapunov Tilings 1

The second shows a correct computation, with a somewhat unlucky coloration algorithm:

Lyapunov Tilings 2

The third finally shows the apotheosis, a collection of perfect images (tilings and zooms):

Lyapunov Tilings 3


An old note about how computing the mandelbrot set with the aid of Lyapunov exponents may also be of some interest:

Lyapunov & Mandelbrot


I also made an animated gif (be warned, the file is 1.2 MB large):

Lyapunov Animation

31.5.2001
updated 5.6.2001
Jan Thor
www.janthor.com
jan@janthor.de