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Unformatted text preview: x = h + rx + x 3-x 5 . (1) (a) Sketch the bifurcation diagram when h = 0 . Be sure to label each branch as stable or unstable. (We already did this in class.) (b) Sketch the bifurcation diagrams for h > and h < . Could you have guessed this from looking at the diagram in (a)? (*) Think about what happens if we perturb the saddle-node normal form. That is, how does the bifurcation diagram change if h = 0 in x = r + hx-x 2 ? (2)...
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- Spring '10