Advanced Topics - Demo 5

Quadratic map above ac: Band Merging

First look at the bifurcation diagram for the quadratic map in the chaotic regime

and bracketing the onset region more tightly

(You might want to enlarge the y-scale or investigate smaller regions around a=ac=3.57 more closely using the mouse on the stopped plot.)

For a < ac there is successive splitting of the (periodic) orbits. For a > ac on the other hand there are discrete bands of chaos that successively merge (as well as windows of periodic states etc.).

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Last modified Friday, February 4, 2000
Michael Cross