8: Bifurcation of Equilibria I
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- 8.1: Bifurcation of Equilibria I
- We will now study the topic of bifurcation of equilibria of autonomous vector fields, or ‘’what happens as an equilibrium point loses hyperbolicity as a parameter is varied?” We will study this question through a series of examples, and then consider what the examples teach us about the ‘’general situation” (and what this might be).