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An Analytical Model for Multifractal Systems
Jun Li
Corresponding AuthorJun Li
Source PublicationJournal of Applied Mathematics and Physics

Previous multifractal spectrum theories can only reflect that an object is multifractal and few explicit expressions of f(α) can be obtained for the practical application of nonlinearity measure. In this paper, an analytical model for multifractal systems is developed by combining and improving the Jake model, Tyler fractal model and Gompertz curve, which allows one to obtain explicit expressions of a multifractal spectrum. The results show that the model can deal with many classical multifractal examples well, such as soil particle-size distributions, non-standard Sierpinski carpet and three-piece-fractal market price oscillations. Applied to the soil physics, the model can effectively predict the cumulative mass of particles across the entire range of soil textural classes.

KeywordMultifractal Jake-jun Model Cantor Set Sierpinski Carpet Price Oscillation
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Document Type期刊论文
AffiliationKey Laboratory of Mountain Surface Process and Hazards/Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu, China
First Author Affilication中国科学院水利部成都山地灾害与环境研究所
Recommended Citation
GB/T 7714
Jun Li. An Analytical Model for Multifractal Systems[J]. Journal of Applied Mathematics and Physics,2016,4:1192-1201.
APA Jun Li.(2016).An Analytical Model for Multifractal Systems.Journal of Applied Mathematics and Physics,4,1192-1201.
MLA Jun Li."An Analytical Model for Multifractal Systems".Journal of Applied Mathematics and Physics 4(2016):1192-1201.
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