基于Hurst指数的飞机完好率混沌时序数据时滞性分析

英文篇名：A Method of Analyzing the Time Lag of the Chaotic Time Series Based on Hurst Exponent
中文刊名：空军工程大学学报(自然科学版)
英文刊名：Journal of Air Force Engineering University(Natural Science Edition)
作者：张云龙 ; 潘泉 ; 张洪才
英文作者：ZHANG Yun-long~1 ; PAN Quan~2 ; ZHANG Hong-cai~2(1.Fundamental Department ; the first Aeronautical Institute of Air Force ; Xinyang ; Henan 464000 ; China ; 2.Automatic School ; Northwest Polytechnical University ; Xi′an ; Shaanxi 710072 ; China)
中文关键词：Hurst指数 ; 混沌时间序列 ; 时滞性 ; 平均循环周期
英文关键词：Hurst exponent ; chaotic time series ; time lag ; mean period
出版日期：2006-02-20
机构：空军第一航空学院基础部,西北工业大学自动化学院,西北工业大学自动化学院河南信阳464000,陕西西安710072,陕西西安710072
年：2006
期：01
出版单位：空军工程大学学报(自然科学版)

摘要

通过研究Hurst指数随时间变化曲线的特性,提出了一种计算和判断混沌时间序列平均最大“记忆”长度(“平均循环周期”)的方法。并应用于对飞机完好率时间序列数据的时滞性实证分析,分析结果得到了有关专家的认可,为进一步的评价分析奠定了基础。
By studying the feature of the curve of the Hurst exponent changing with the time,a method of calculating and judging the average "memorial" range of the chaotic time series,the mean period,is presented in this paper.When the curve is drawn according to the 7 steps give in the paper,you may find that there will be a peak value on the curve.The time point corresponding to this peak should be the mean period of the time series.Some results of the aircraft intactness ratio data by using this method have been approved by the related experts and can surely be used for the ulterior evaluation of the data.

引文

[1]M andelbrot B B.The Fractal Geom etry of Nature[M].NewYork:W H Freem an and Company,1977.
    [2]埃德加E彼得斯.资本市场的混沌与秩序[M].王小东.北京:经济科学出版社,1999.
    [3]叶中行,杨利平.上证指数的混沌特性分析[J].上海交通大学学报,1998,32(3):129-132.
    [4]郭德科.地震频次的Hurst指数在地震预报中的应用[J].华北地震科学,2002,20(3):44-50.
    [5]李强,徐桂明.江苏及邻区地震频次的Hurst指数分析[J].西北地震学报,2002,24(3):247-250.
    [6]Ledesm a S.Analysis and Synthesis of Self-sim ilar Network Traffic[D].Stevens Institute of Technology,2000
    [7]Erram illi A,Narayan O,W illingerW.Experim entalQueu ing Analysis w ith Long-range Dependent PacketTraffic[J].IEEE/ACM Transactions on Network ing,1996,4:209-223.