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 , as the parameter λ of the map approaches the point of accumulation . 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=2. .AE
- Received 13 July 1984
DOI:https://doi.org/10.1103/PhysRevA.31.514
©1985 American Physical Society