Please use this identifier to cite or link to this item: https://doi.org/10.1016/0375-9601(95)00923-X
Title: Disorder versus order: Global multifractal relationship between topological entropies and universal convergence rates
Authors: Zhang, X.-S.
Liu, X.-D.
Kwek, K.-H. 
Peng, S.-L.
Issue Date: 12-Feb-1996
Citation: Zhang, X.-S., Liu, X.-D., Kwek, K.-H., Peng, S.-L. (1996-02-12). Disorder versus order: Global multifractal relationship between topological entropies and universal convergence rates. Physics Letters, Section A: General, Atomic and Solid State Physics 211 (3) : 148-154. ScholarBank@NUS Repository. https://doi.org/10.1016/0375-9601(95)00923-X
Abstract: A multifractal relation between the topological entropies which describe disorder and the universal convergence rates which describe order is found for the first time in one-dimensional chaotic dynamics. There are infinitely many scales in the interval of primitive words and self-similarity in the interval of non-primitive words. After dealing with the singularity of the universal convergence rates at all points of coarse and fine chaos, we obtain the fractal dimension of the curve h-δ(W)-1/∥W∥ to be 1.65 by the fractal interpolation method based on Barnsley's iterated function systems (IFS). The global metric regularity of the disorder versus the order is characterized by the self-similarity of the intervals and its fractal dimension.
Source Title: Physics Letters, Section A: General, Atomic and Solid State Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103145
ISSN: 03759601
DOI: 10.1016/0375-9601(95)00923-X
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