Chaos and Feigenbaum’s Constant

Published on 2007-02-21 by Mark VandeWettering

Years ago, I read Gleick’s Chaos, and my recent diversion into calculating various numbers to high degrees of precision made me think about Feigenbaum’s Constant. While I didn’t write a program to compute this constant, I did recall how it is defined, on the basis of this logistic map:

Feigenbaum’s constant is the limiting ratio between successive bifurcation intervals of the logistic map (as well as all other one dimensional maps with a single hump). You can read more here.

I’m no expert on this stuff, it was just a momentary coffee break diversion.

[tags]Chaos,Mathematics[/tags]