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Question: 1 strogatz 313 323 348 for each of the following...

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1. (Strogatz 3.1.3, 3.2.3, 3.4.8) For each of the following dynamical systems, find the bifurcation point (re, ) for the given type of bifurcation, and draw the bifurcation diagram. Show/explain how you determined the stability of the branches in the bifurcation diagram. (a) Saddle-Node bifurcation:r-In(1 +a) (b) Transcritical bifurcation: -r(1-) (c) Pitchfork bifurcation: rx- 1 + 2
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