Lorenz Attractor

This is an implementation of Lorenz’ groundbreaking model that exhibits continuous-time chaos.

A google search turns up lots of good information on this model. For more advanced material, try google scholar.

I didn’t replicate this from Lorenz’ original 1963 article, Deterministic Nonperiodic Flow, but you can find a copy here.

Updated!

lorenz2.vmf

lorenz2.vpm

Logistic Chaos

This is an implementation of the logistic model – a very simple example of discrete time chaotic behavior. It’s sometimes used to illustrate chaotic dynamics of insect populations.

There’s a nice description here, and the other top links on google tend to be good.

Note that this version corrects an equation error in previous versions.

Logistic (Vensim .vpm)

Logistic (Vensim .vmf)