The Lorenz system is a set of differential equations:

dX/dt = -σ X + σ Y

dY/dt = r X – Y – XZ

dZ/dt = -β Z + XY

It mathematically describes convection velocity, that occurs if one applies a temperature difference to a fluid. In this case, X,Y,Z are amplitudes of a fourier series. X(t),Z(t) is also what is plotted (but the axis was removed for esthetics) and the development in time is shown. The starting point was very close to one unstable fixed point, so first you see the system spiralling away from the fixed point. For certain parameters the system becomes chaotic, which is the case here. So it corresponds to the case of a very high temperature difference resulting in turbulent flow.

The Lorenz system is a set of differential equations:

dX/dt = -σ X + σ Y

dY/dt = r X – Y – XZ

dZ/dt = -β Z + XY

It mathematically describes convection velocity, that occurs if one applies a temperature difference to a fluid. In this case, X,Y,Z are amplitudes of a fourier series. X(t),Z(t) is also what is plotted (but the axis was removed for esthetics) and the development in time is shown. The starting point was very close to one unstable fixed point, so first you see the system spiralling away from the fixed point. For certain parameters the system becomes chaotic, which is the case here. So it corresponds to the case of a very high temperature difference resulting in turbulent flow.