BIFURCATION

CATEGORY : Chaos and fractals

WRITTEN BY: Donald Kiel, Cal State, Los Angeles
                         dkiel@neptune.calstatela.edu

APPLICATION:

This application illustrates the iterative solution to the logistic equation 
 x = rx (1-x).

The self- similarity and deeper structure is demonstrated by using the mouse to  
zoom in on the drawing to get more detail.  Click the mouse at the upper left of 
the rectangle which will give the dimensions of the next drawing.  Drag to the 
lower left corner of the desired rectangle and release the button.  The new 
dimensions will appear in the proper fields.  Push the draw button to draw the 
next diagram.  If it is too light, increase the number of iterations and draw again.

USE: Mathematics classes.

DEVELOPMENT: NeXTSTEP 2.0