I am a strangeloop: Part 2

By on 1-16-2012 in Experiments

I am a strangeloop: Part 2

Continuing on the theme of strangeloops, I find the Lorentz’s Strange Attractor a fascinating example of chaotic order. This non-linear dynamical system is a perfect example of how seemingly chaotic systems in nature evolve a non-repeating complex pattern. You can read more details about the Lorentz’s strange attractor system online.

 

The system is governed by three differential equations given by:

\frac{dx}{dt} = \sigma (y - x)
\frac{dy}{dt} = x (\rho - z) - y
\frac{dz}{dt} = xy - \beta z
where ? , ? , ? > 0
I wrote a small script which simulates this strange attractor in actionscript. Click on Reload if the loop disappears.