In 1963 the meteorologist and mathematician E. N. Lorenz published solutions for a simplified mathematical model of atmospheric turbulence in an air cell under a thunderhead. The model is now generally known as an illustration for chaotic behaviour and strange attractors.

The basic equations are:

d(x |

d(x |

d(x |

where:

*x*is the amplitude of the convective air currents_{1}*x*is the temperature difference between the rising and falling currents_{2}*x*is the deviation of temperature from the mean_{3}*a*,*r*and*b*are dimensionless physical parameters

For more information, see http://mathworld.wolfram.com/LorenzAttractor.html.

Download the model file and explore the behaviour of the strange attractor using Simile’s included XY-plotter, as set-up by this display configuration file.

Files : | lorenz.zip |