# 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]

### 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 Physical Sciences Particle and high energy physics Particle physics Expanding Knowledge Expanding knowledge Expanding knowledge in the physical sciences Delbourgo, R (Professor Robert Delbourgo) 96403 1985 10 Mathematics and Physics 2014-11-04 2014-11-04 0

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