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Bifurcations of the dynamical systems listed below are controlled by parameter u. For each case examine and discuss its dynamic stability. Specifically, name the

 

Bifurcations of the dynamical systems listed below are controlled by parameter u. For each case examine and discuss its dynamic stability. Specifically, name the type of bifurcation, determine fixed points, and sketch vector fields and the corresponding bifurcation diagrams. (a) * = ux x, (b) * = ux x,

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