# Lorenz Model - background

## The model

The Lorenz model is defined by three differential equations giving the time
evolution of the variables *X(t), Y(t), Z(t)*:

dX/dt = -c(X-Y)

dY/dt = aX-Y-XZ

dZ/dt = b(XY-Z)

Although the equations look quite simple, they are nonlinear depending on the
products of the variables *XZ* and *XY*, and analytic solution is
impossible in general.
*(to be continued)*

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Last modified 18 August, 2009

Michael Cross