2-Dimensional Maps - Demo 2
The Baker's Map
In terms of the parameters a,b,c of the applet the Baker's map is given by
The map is most easily understood graphically:
|xn+1 = b xn
||yn+1 = yn/a
||if yn < a
|xn+1 = (1 - c) + c xn
||yn+1 = (yn - a)/(1 - a)
||if yn > a
Iteration gives the following structure:
Again you can investigate the fine structure by enlarging portions of the plot.
Return to text.
Last modified Tuesday, December 7, 1999