# 2. Show that for the Lorenz system, there is a straight line solution converging to the origin…

2. Show that for the Lorenz system, there is a straight line solution converging to the origin along the *z*-axis.

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3. Show that the function

*L*(*x*, *y*, *z*) = *x*2 + 10*y*2 + 10*z*2

is a Lyapunov function for the Lorenz system when *R * 1.