For complex mappings of the type z→λz(1−z), universality constants α and δ can be defined along islands of stability lying on filamentary sequences in the complex λ plane. As the end of the filament is approached, asymptotic values α N ∼λ N−1 ∞, δ N /α2 N ∼1 are attained, where μ∞=λ∞(λ∞−2)/4, is associated with the limiting form of the universal function for that sequence, g(z)=1−μ∞ z 2. These results are complex generalizations of the real mapping case (applying to tangent bifurcations and windows of stability) where μ∞=2 and δ/α2→ (2)/(3) correspond to the filament running along the real axis.

Item Type:	Refereed Article
Research Division:	Physical Sciences
Research Group:	Particle and high energy physics
Research Field:	Particle physics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding knowledge
Objective Field:	Expanding knowledge in the physical sciences
UTAS Author:	Delbourgo, R (Professor Robert Delbourgo)
UTAS Author:	Kenny, BG (Mr Brian Kenny)
ID Code:	90713
Year Published:	1987
Web of Science® Times Cited:	1
Deposited By:	Mathematics and Physics
Deposited On:	2014-04-16
Last Modified:	2014-04-16
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