Advanced Topics - Demo 8

Quadratic map above ac: Scaling of the Band Merging

We can follow the same procedure as below onset to demonstrate to the scaling to a universal function. At the 2 n+1 to 2 n band merging point we look at the iterate f 2 n scaled by (-) n.

Band Iterate Unscaled Scaled
4 to 2 f 2
8 to 4 f 4
16 to 8 f 8

The scaled function approaches a "universal band filling chaos function".

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Last modified Friday, February 4, 2000
Michael Cross