Application of fractail theory: The current situation and its future

被引:0
|
作者
Zhang, XL [1 ]
Yan, GL [1 ]
机构
[1] Shanghai Univ Sci & Technol, Sch Management, Shanghai, Peoples R China
关键词
fractal; fractal dimension; fractal in economic theory;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
These dozens of years, the scholars in the world have payed attention to the research of fractal theory and chaos, and acquired much outcome. Fractal theory that have changed our understanding of the world in the past, think that. the dimension of things are not all integer. The traditional model method holds that the complexity of economic system information' is caused by external random factors. As a result people take random factors into consideration when discussing the determination of the system, using economic Mathematical theories such as random analysis, dynamic analysis, statistical estimation, hypothesis testing etc to simulate the laws of the system so as, to attain the goal of prediction. However in reality, when we observe some economic data, we find that the observations more or less have some "deviation". Through a fractal study on fractal theory, this paper approaches a new fractal analysis method via which the information hidden in the system can be exposed completely. And discuss the application of some main embranchments of fractal theory: calculation of fractal dimension, fractal interpolation, fractal measure, self-similarity and scaling. invariance in the kinds of areas of practices, the mathematical models of these embranchments are described, some applications in some subjects related with it are introduced. The present application of fractal theory are introduced in this paper.
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页码:1325 / 1329
页数:5
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