Show that the dynamical system x' =-ax+ xy y' = 1 - {3y -x2 has a unique critical point

Chapter 11, Problem 28

(choose chapter or problem)

Show that the dynamical system x' =-ax+ xy y' = 1 - {3y -x2 has a unique critical point when af3 > 1 and that this critical point is stable when f3 > 0.

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