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→Bifurcation types
* Local bifurcations, which can be analysed entirely through changes in the local stability properties of [[Equilibrium point|equilibria]], periodic orbits or other invariant sets as parameters cross through critical thresholds; and
* Local bifurcations, which can be analysed entirely through changes in the local stability properties of [[Equilibrium point|equilibria]], periodic orbits or other invariant sets as parameters cross through critical thresholds; and
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* Global bifurcations, which often occur when larger invariant sets of the system 'collide' with each other, or with equilibria of the system. They cannot be detected purely by a stability analysis of the equilibria (fixed points).
* Global bifurcations, which often occur when larger invariant sets of the system 'collide' with each other, or with equilibria of the system. They cannot be detected purely by a stability analysis of the equilibria (fixed points).
全局分岔还可以涉及更复杂的集合，如混沌吸引子(例如混沌吸引子)。危机)。
全局分岔还可以涉及更复杂的集合，如混沌吸引子(例如混沌吸引子)。危机)。
==Codimension of a bifurcation==
==Codimension of a bifurcation==