# How do I produce iterative equations and bifurcation diagrams?

I need to produce orbit diagrams for different values of x for the following equation:

f[r_][x_]:= r*x - x^3


I'm fairly new to Mathematica, so I haven't had a lot of practice using it. Basically I need to produce bifurcation diagrams for different values of x; then, using these plots, identify r values at which bifurcation occurs and determine the convergence ratio.

Any help would be much appreciated.

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A bit of help with the first stage...

f[r_,x_]:=r x-x^3;


To generate a bifurcation diagram...

ListPlot[