Abstract
In this chapter we present a detailed study of the generic bifurcations. In addition to the pitchfork bifurcation seen in the last chapter, we introduce the saddle-node bifurcation (through the example of a simple pendulum), the imperfect pitchfork bifurcation, the subcritical bifurcation (characterized by hysteresis), and the transcritical bifurcation. We will then introduce and illustrate catastrophe theory by way of a simple example.
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