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Hi there, can anyone help me to answer this question? (5) In the following system, a Hopf bifurcation occurs at the origin when ,u =

Hi there, can anyone help me to answer this question?

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(5) In the following system, a Hopf bifurcation occurs at the origin when ,u = 0. . 1 3 x = m+y-=r. 3} = 2:z:+,uy+ (a) (11)) Plot the phase portrait for signicant values of p: (b) (11)) and determine whether the Hopf bifurcation is super oder subcrit ical. (c) (31)) Conrm your conclusion using the analytical criterion (Hint: scale g = Cy for a convenient 1value of C E R to bring the system into the required form.)

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