Pitchfork bifurcation

The pitchfork bifurcation is a particular type of bifurcation of a nonlinear system.

The normal form of the pitchfork bifurcation is:

Wherein r is to be varied for the occurrence of bifurcation parameters.

For α = 1 yields the subcritical pitchfork bifurcation For α = -1 we obtain the supercritical pitchfork bifurcation

The pitchfork bifurcation has the following equilibrium points:

Bifurcation theory Transcritical bifurcation Hopf bifurcation
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