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Universal features of tangent bifurcation


Delbourgo, R and Kenny, BG, Universal features of tangent bifurcation, Australian Journal of Physics, 38, (1) pp. 1-22. ISSN 0004-9506 (1985) [Refereed Article]


We exhibit certain universal characteristics of limit cycles pertaining to one-dimensional maps in the 'chaotic' region beyond the point of accumulation connected with period doubling. Universal, Feigenbaum-type numbers emerge for different sequences, such as triplication. More significantly, we have established the existence of different classes of universal functions which satisfy the same renormalization group equations, with the same parameters, as the appropriate accumulation point is reached.

Item Details

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)
ID Code:96404
Year Published:1985
Web of Science® Times Cited:9
Deposited By:Mathematics and Physics
Deposited On:2014-11-04
Last Modified:2014-11-04

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