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