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
| 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 |
The map is most easily understood graphically:
Iteration gives the following structure:
Again you can investigate the fine structure by enlarging portions of the plot.
Return to text.
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Last modified Tuesday, December 7, 1999
Michael Cross