Bifurcation is applied to the mathematical study of dynamical systems; a bifurcation occurs when a small smooth change made to a system’s parameter values (the bifurcation parameters) causes a sudden ‘qualitative’ or topological change in its behavior.

Bifurcation is the point or area at which something divides into two branches or parts: the point at which bifurcating occurs. Inflammation may occlude the bifurcation of the trachea.

Bifurcation is also the state of being divided into two branches or parts: the act of bifurcating.

The definition of bifurcate is to split up or to divide into two different parts or branches. When a trail splits into two trails, this is an example of when the trail bifurcates.

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