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.

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Last modified Tuesday, December 7, 1999
Michael Cross