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 Bifurcations in 1d. Find the critical points in the following one dimensional systems. Determine their stability and sketch a bifurcation diagram. (A bifurcation diagram is a sketch of the locus of the critical points in (µ, x) space which indicates where they are stable by a solid line and where they are unstable by a dashed line.) Clearly label any bifurcation points on your diagram by their type and position.(a) ˙ x = (x−1)(µ + 3x−x3) (b) ˙ x = x(µ + 4x2) ...

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