Pictorial Renormalization Group - Demo 9


At a=3.498 we find a super stable 2-cycle in f 2

This corresponds to a superstable 4-cycle in f:

If we now look at f 4(x)

(including the transient)

we can study the approach to the fixed point in f 4(x). Again the orbit resembles the orbits in demonstration 1 at a=2 and demonstration 5 at a=3.236.

We can again emphasize this by focusing on the central region be enlarging and inverting (set nsc=2):

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Last modified Sunday, December 12, 1999
Michael Cross