 ##  [Saddle-Node Bifurcation](/index.php/saddle-node-bifurcation) 

  ##  [Saddle-Node Bifurcation](https://natural.quantumdictionary.io/saddle-node-bifurcation-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A local bifurcation in which a pair of fixed points (one stable, one unstable) collide and annihilate (or are created) as a system parameter crosses a critical value, typically via a quadratic tangency in the vector field.