Question: The next exercises are designed to test your ability to distinguish among the vari- ous types of bifurcationsit's easy to confuse them! In each case,

The next exercises are designed to test your ability to distinguish among the vari- ous types of bifurcationsit's easy to confuse them! In each case, find the values of r at which bifurcations occur, and classify those as saddle-node, transcritical, supercritical pitchfork, or subcritical pitchfork. Finally, sketch the bifurcation dia- gram of fixed points x * vs. r 3.4.6 xdot= rx - x/1+x

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