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Named after Edward Lorenz, the Lorenz attractor is an example of a strange attractor showing chaotic motion from a simple three-dimensional model of atmospheric convection.
One projection of the Lorenz attractor
The system is most commonly expressed as 3 coupled non-linear differential equations:
- <math>\frac{dx}{dt} = a (y - x)<math>
- <math>\frac{dy}{dt} = x (b - z) - y<math>
- <math>\frac{dz}{dt} = xy - c z<math>
where a = 10, b = 28, c = 8 / 3.
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