Pitchfork bifurcation

Supercritical case: solid lines represent stable points, while dotted line
represents unstable one.

Subcritical case: solid line represents stable point, while dotted lines
represent unstable ones.

In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types - supercritical or subcritical.

In continuous dynamical systems described by ODEs—i.e. flows—pitchfork bifurcations occur generically in systems with symmetry.

单词	Pitchfork bifurcation
释义	Pitchfork bifurcation 英语百科 Pitchfork bifurcation In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types - supercritical or subcritical. In continuous dynamical systems described by ODEs—i.e. flows—pitchfork bifurcations occur generically in systems with symmetry.
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