Solved: In each of 11 through 14: a. Sketch the nullclines and describe how the critical
Chapter 9, Problem 12(choose chapter or problem)
In each of 11 through 14: a. Sketch the nullclines and describe how the critical points move as increases. b. Find the critical points. G c. Let = 2. Classify each critical point by investigating the corresponding approximate linear system. Draw a phase portrait in a rectangle containing the critical points. G 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. G e. For > 0, there are no critical points. Choose such a value of and draw a phase portrait.x_ = 3 2 y, y_ = 4x + y + x2 1
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