5. (20 points)Consider the following nonlinear system x' = (x – 4)x+ 223 y = -4y + 5. (a) Find the equilbirum points. (b
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5. (20 points)Consider the following nonlinear system x' = (x – 4)x+ 223 y = -4y + 5. (a) Find the equilbirum points. (b
5. (20 points)Consider the following nonlinear system x' = (x – 4)x+ 223 y = -4y + 5. (a) Find the equilbirum points. (b) Study the local stability of these equilibrium points. (c) Sketch the bifurcation diagram and find the bifurcation value j and the type of bifurcation.
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