VMI Chaos Lab

Notes

  • These programs make use of Tcl/Tk scripts. You will need either the Tcl/Tk interpreter for your platform (download ***.tcl) OR the Tcl/Tk plugin for your browser (download ***.html).

Experiments for 1D iterations

Lab 1. KL Process
The Koenigs-Lemeray (KL) or cobweb procedure is a graphical method for tracing the trajectory of a 1D map. In this experiment, the logistic map and cubic map are used.
Lab 2. Response diagrams
The response diagram is a graphical portrait of the attractors of a scheme, that is, a family of maps. In this case, the logistic family is used.

Experiments for 2D iterations

Lab 3. Critical curves, MQ map
First experiments using a quadratic 2D map.

Revised 15 Sept 2002 by Ralph Abraham, <abraham@vismath.org>