Please use this identifier to cite or link to this item:
https://doi.org/10.1016/0375-9601(95)00923-X
DC Field | Value | |
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dc.title | Disorder versus order: Global multifractal relationship between topological entropies and universal convergence rates | |
dc.contributor.author | Zhang, X.-S. | |
dc.contributor.author | Liu, X.-D. | |
dc.contributor.author | Kwek, K.-H. | |
dc.contributor.author | Peng, S.-L. | |
dc.date.accessioned | 2014-10-28T02:33:49Z | |
dc.date.available | 2014-10-28T02:33:49Z | |
dc.date.issued | 1996-02-12 | |
dc.identifier.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 | |
dc.identifier.issn | 03759601 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103145 | |
dc.description.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. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/0375-9601(95)00923-X | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1016/0375-9601(95)00923-X | |
dc.description.sourcetitle | Physics Letters, Section A: General, Atomic and Solid State Physics | |
dc.description.volume | 211 | |
dc.description.issue | 3 | |
dc.description.page | 148-154 | |
dc.description.coden | PYLAA | |
dc.identifier.isiut | A1996TV38800005 | |
Appears in Collections: | Staff Publications |
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