An Analytical Model for Multifractal Systems | |
Jun Li![]() | |
Corresponding Author | Jun Li |
2016 | |
Source Publication | Journal of Applied Mathematics and Physics
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ISSN | 0021-8928 |
Volume | 4Pages:1192-1201 |
Abstract | 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. |
Keyword | Multifractal Jake-jun Model Cantor Set Sierpinski Carpet Price Oscillation |
DOI | 10.4236/jamp.2016.47124 |
Language | 英语 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.imde.ac.cn/handle/131551/20742 |
Collection | 山地灾害与地表过程重点实验室 |
Affiliation | Key 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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E1 An Analytical Mod(2784KB) | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Application Full Text |
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