
05888395
j
2011c.00705
Sorensen, Jody
Rykken, Elyn
Sprinkler bifurcations and stability.
Coll. Math. J. 41, No. 5, 383391 (2010).
2010
Mathematical Association of America (MAA), Washington, D.C.
EN
I95
bifurcation
fixed points
doi:10.4169/074683410X521982
Summary: After discussing common bifurcations of a oneparameter 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.