16-1 Bifurcation Diagram

This program generates the bifurcation diagram of the function x ^2 + c. For each value of c along the horizontal axis, it plots vertically the values of the orbit of x = 0.

To run the demo:

  1. The initial diagram is automatically generated.
  2. Because the diagram is recursive, you can use the mouse to drag a rectangle around an area that you want to zoom into.

The original Java Applets do not run in modern browsers, but you can download the Java code and run it locally on your desktop. Check back for JavaScript and Python versions - coming soon!


Download Demos in Java