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logistic_chaos.jpg | by peterroopnarine
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logistic_chaos.jpg

Population cycles generated with a very simple logistic equation, X(t+1)=rX(t)[1-X(t)], r set to 3 (upper figure) and 3.6 (lower figure). The lower graph exhibits deterministic chaos. Blogged about at Climate Change Blog.

 

The simulation was programmed in Octave and plotted on Grace, both running on Linux.

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Uploaded on March 14, 2008