multiplicitiesoffreedom demonstrates Chaos Theory in Excel. If he filled in more initial values, you would see a thick bar—like a picture of white-noise.
- Butterflies flapping their wings in Vermont to change the wind in Hangzhou?
- A drop of water on Jeff Goldblum’s hand taking a very different path down depending on random parameters?
- Or—as in multiplicitiesoffreedom’s picture—like a hashing function, the codomain being a highly-discrepant reordering|shuffle of the domain?
I found a paper on Chaos Theory as a metaphor for Institutional Economics and I just couldn’t help but play around with the equations inside. (Like the methodology of inst. econ)
For those who want to play around with the logistic map in R as well as Excel, do:
require(fNonlinear) ?lorentzSim y = logisticSim() plot(y, col=rgb(.1,.1,.1,.75) )