Fold bifurcation refers to a type of local bifurcation where a system's stability changes and new equilibria emerge as parameters are varied. This phenomenon typically results in the creation or annihilation of fixed points, commonly observed in dynamical systems where two equilibria collide and disappear as a parameter crosses a critical threshold. Understanding fold bifurcations is crucial for analyzing system behavior, especially in scenarios involving saddle-node bifurcations and in the context of delay differential equations.
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