a. Let c = 1.3. Find the critical points and the corresponding eigenvalues. What
Chapter 9, Problem 12(choose chapter or problem)
a. Let c = 1.3. Find the critical points and the corresponding eigenvalues. What conclusions, if any, can you draw from this information? G b. Plot the trajectory starting at the origin. What is the limiting behavior of this trajectory? To see the limiting behavior clearly, you may wish to choose a t-interval for your plot so that the initial transients are eliminated. G c. Choose one or two other initial points, and plot the corresponding trajectories. Are the limiting behavior(s) the same as in part b? G d. Observe that there is a limit cycle whose basin of attraction is fairly large (although not all of xyz-space). Draw a plot of x, y, or z versus t, and estimate the period T1 of motion around the limit cycle.
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