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Lorenz attractor

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.

The system is most commonly expressed as 3 coupled non-linear differential equations:

dx/dt = a (y - x),
dy/dt = x (b - z) - y, and
dz/dt = xy - c z,

where a = 10, b = 28, c = 8 / 3.

External links:

  • lorenz_attractor01.gif - Plot of the Lorenz attractor

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