Category:Hopf Bifurcations

This category contains results about Hopf Bifurcations.
Definitions specific to this category can be found in Definitions/Hopf Bifurcations.

A Hopf bifurcation is a bifurcation in which a family of flows $\map {x_\lambda} t$, indexed by a real bifurcation parameter $\lambda$, has an attractor consisting of:

a fixed point replaced by a circle

a repelling fixed point for a small change in the index.