# Advanced Topics - Demo 5

## Quadratic map above *a*_{c}: 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=a*_{c}=3.57 more closely using the mouse on the stopped plot.)

For *a < a*_{c} there is successive *splitting* of the (periodic) orbits. For *a > a*_{c} 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