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Random Attractors – Found Using Lyapunov Exponents (2001)
Contribution by Philip Ham: attractor.basic and Python implementation by Johan Bichel Lindegaard. This document is "littered" with a selection of attractors found using the techniques described.
The magnitude of the Lyapunov exponent is a measure of the sensitivity to initial conditions, the primary characteristic of a chaotic system. To create the chaotic attractors shown on this page each parameter a n and b n in the quadratic equation above is chosen at random between some bounds (+- 2 say). Peitgen, H., Jurgens, H., Saupe, D Lyapunov exponents and chaotic attractors in Chaos and fractals - new frontiers of science.
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