Use mathematica or another similar program to complete the problem.

Problem I Consider the system y Ay, where A is the matrix a b Determine the conditions on the coefficients a, b, c, d and under which a clockwise spiral sink (or center) can go through a bifurcation to become a counterclockwise spiral sink.(or center). What does the phase plane look like at the bifurcation? Give an example of a one parameter system which exhibits this sort of behavior Problem I Consider the system y Ay, where A is the matrix a b Determine the conditions on the coefficients a, b, c, d and under which a clockwise spiral sink (or center) can go through a bifurcation to become a counterclockwise spiral sink.(or center). What does the phase plane look like at the bifurcation? Give an example of a one parameter system which exhibits this sort of behavior