Answer: In each of 13 through 16:(a) Sketch the nullclines and describe how the critical
Chapter 9, Problem 14(choose chapter or problem)
In each of 13 through 16:(a) Sketch the nullclines and describe how the critical points move as increases.(b) Find the critical points.(c) Let = 2. Classify each critical point by investigating the corresponding approximatelinear system. Draw a phase portrait in a rectangle containing the critical points.(d) Find the bifurcation point 0 at which the critical points coincide. Locate this critical point,and find the eigenvalues of the approximate linear system. Draw a phase portrait.(e) For >0 there are no critical points. Choose such a value of and draw a phase portrait.x = 32 y, y = 4x + y + x2
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