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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Misbah, C. (2017). The Other Generic Bifurcations. In: Complex Dynamics and Morphogenesis. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1020-4_3
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DOI: https://doi.org/10.1007/978-94-024-1020-4_3
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-024-1018-1
Online ISBN: 978-94-024-1020-4
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