(a) Let c = 1.3. Find the critical points and the corres
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(a) Let c = 1.3. Find the critical points and the corresponding eigenvalues. What conclusions, if any, can you draw from
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(a) Let c = 1.3. Find the critical points and the corresponding eigenvalues. What conclusions, if any, can you draw from this information? (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. (c) Choose one or two other initial points and plot the corresponding trajectories. Are the limiting behavior(s) the same as in part (b)? (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 of motion around the limit cycle
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