id: 05888395
dt: j
an: 2011c.00705
au: Sorensen, Jody; Rykken, Elyn
ti: Sprinkler bifurcations and stability.
so: Coll. Math. J. 41, No. 5, 383-391 (2010).
py: 2010
pu: Mathematical Association of America (MAA), Washington, D.C.
la: EN
cc: I95
ut: bifurcation; fixed points
ci:
li: doi:10.4169/074683410X521982
ab: Summary: After discussing common bifurcations of a one-parameter family of
single variable functions, the authors introduce sprinkler
bifurcations, in which any number of new fixed points emanate from a
single point. Based on observations of these and other bifurcations,
they then prove a number of general results about the stability of
fixed points near a bifurcation point.
rv: