Consider the system (2), and assume that 12 12 = 0. a. Find all the critical points of

Chapter 9, Problem 8

(choose chapter or problem)

Consider the system (2), and assume that 12 12 = 0. a. Find all the critical points of the system. Observe that the result depends on whether 12 21 is zero. b. If 1221 > 0, classify each critical point and determine whether it is asymptotically stable, stable, or unstable. Note that is of this type. Then do the same if 12 21 < 0. c. Analyze the nature of the trajectories when 1221 = 0.

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