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Dependence of universal constants upon multiplication period in nonlinear maps

Citation

Delbourgo, R and Hart, W and Kenny, BG, Dependence of universal constants upon multiplication period in nonlinear maps, Physical Review A, 31, (1) pp. 514-516. ISSN 1050-2947 (1985) [Refereed Article]

DOI: doi:10.1103/PhysRevA.31.514

Abstract

Noninvertible one-dimensional maps with cycle periods undergoing multiplication by a factor N, as a result of (tangent) bifurcation, are governed by map-independent universal constants αN,δN as the parameter λ of the map approaches the point of accumulation λN. By explicit computation, we have determined the constants for all cycle structures and all values of N up to 7 (and in addition for many cycles up to N=11). We find that the relation between α and δ is roughly independent of the detailed cycle structure and follows quite well the Eckmann-Epstein-Wittwer asymptotic prediction that 3δ=2α2. .AE

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Atomic, Molecular, Nuclear, Particle and Plasma Physics
Research Field:Particle Physics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:96403
Year Published:1985
Web of Science® Times Cited:10
Deposited By:Mathematics and Physics
Deposited On:2014-11-04
Last Modified:2014-11-04
Downloads:0

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