Chapter 7.6, Problem 9P

Now consider values of $r$ slightly larger than those in Problem 8.

(a) Plot trajectories of the Lorenz equations for values of $r$ between $100$ and $100.78$. You should observe a steady periodic solution for this range of $r$ values.

(b) Plot trajectories for values of $r$ between $100.78$ and $100.8$. Determine, as best you can, how and when the periodic trajectory breaks up.