Assertion: hopf bifurcation | /r/CapableOf | happen for any iterate
Facets:
value: for maps
type: PURPOSE
Source sentences:
text: It is thus important to notice that, with enough smoothness, subcriticality is exceptional in the sense that only finitely many subcritical bifurcations can happen for any iterate for maps that are $C^3$ (and in fact a bit less).