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|Title:||Disorder versus order: Global multifractal relationship between topological entropies and universal convergence rates|
|Source:||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|
|Appears in Collections:||Staff Publications|
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