
Bifurcation diagrams, also known as Feigenbaum plots, are an excellent
way of demonstrating the nature of chaos. They can show how an iterative
function for certain values of a constant converge to a
steady state over time, while for other values it may oscillate
between a number of different states, and for yet others,
vary without settling into a pattern. Dr. Charles Sadler,
an orthopedic surgeon and advisor for the California Workers'
Compensation system used
OMatrix
to quickly
build a GUIbased system for exploring the mathematics and
plots of bifurcation diagrams. Using this prototype Dr. Sadler
was more easily able to create a quantitative logistic regression
method to replace the previous subjective techniques used by the California
Compensation system.
Using the
OMatrix GUI Building Tools
displays a simple GUI for selecting a diagram mapping type.
The Bifurcation GUI
Depending on the mapping type, the bifurcation GUI displays an appropriate
dialog for specifying parameters.
The Input Dialog for a Logistic Mapping
Logistic Mapping
Quadratic Mapping
Sine Mapping
Download/View Bifurcation Source Code
This user story was contributed by Charles Sadler, M.E.E., M.D., F.A.A.O.S.
Sadler Medical Group, Inc.

