分形研究中无标度区的计算机识别

The Identification of Fractal Scaleless Band in the Study of Fractal with Computers

基于相空间重构理论和嵌入定理,提出了一种分形研究中无标度区的计算机识别方法。应用结果表明,该方法便于编程实现,并能准确地识别出系统观测序列的分形无标度区,计算效率高,人为因素对计算结果的影响小。

In this paper,a novel method of identifying fractal scaleless band in the study of fractal theory with a com-puter is proposed based on the study on the theory of reconstructing phase space and the embedment theorem.The re-sult of theory analysis and application shows that the method can be accomplished by making use of a computer and with the method the fractal scaleless band of fractal construction can be identified according to the parameters given.Especially when the fractal scaleless band identified is narrow,the method is efficacious,objective and precise in identi-fying the fractal scaleless band of fractal construction.