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) = x2  + 10y2  + 10z2

 

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