Automatic generation of strange attractors
Inhaltsverzeichnis
Reference
Sprott, J.: Automatic generation of strange attractors. Computers & Graphics 17(3), 325–332 (1993)
DOI
http://dx.doi.org/10.1016/0097-8493(93)90082-K
Abstract
A pair of coupled quadratic difference equations with randomly chosen coefficients is repeatedly iterated by computer to produce a two-dimensional map. The map is tested for stability and sensitivity to initial conditions. The process is repeated until a chaotic solution is found. In this way a computer can generate a large collection of strange attractors that are all different, and most of which have considerable aesthetic appeal. A simple computer program and examples of its output are provided. Many of the attractors have been systematically evaluated for visual appeal, and a correlation is found with the Lyapunov exponent and correlation dimension.
Extended Abstract
Bibtex
Used References
Links
Full Text
http://sprott.physics.wisc.edu/pubs/paper203.pdf (no c&p)
