An improvement on measure methods of the complexity theory and its applications  

作　　者：王福来 杨辉煌 

机构地区：[1]Department of Mathematics and Statistics,Zhejiang University of Finance and Economics

出　　处：《Chinese Physics B》2009年第9期4042-4048,共7页中国物理B（英文版）

基　　金：supported by the Scientific Research Fund of Zhejiang Provincial Education Department of China (Grant No 20070814);the National Natural Science Foundation of China (Grant No 10871168)

摘　　要：A new method is proposed to transform the time series gained from a dynamic system to a symbolic series which extracts both overall and local information of the time series. Based on the transformation, two measures are defined to characterize the complexity of the symbolic series. The measures reflect the sensitive dependence of chaotic systems on initial conditions and the randomness of a time series, and thus can distinguish periodic or completely random series from chaotic time series even though the lengths of the time series are not long. Finally, the logistic map and the two-parameter Henon map are studied and the results are satisfactory.A new method is proposed to transform the time series gained from a dynamic system to a symbolic series which extracts both overall and local information of the time series. Based on the transformation, two measures are defined to characterize the complexity of the symbolic series. The measures reflect the sensitive dependence of chaotic systems on initial conditions and the randomness of a time series, and thus can distinguish periodic or completely random series from chaotic time series even though the lengths of the time series are not long. Finally, the logistic map and the two-parameter Henon map are studied and the results are satisfactory.

关 键 词：complexity theory COMPLEXITY dynamic system CHAOS 

分 类 号：O415.5[理学—理论物理] N941.4[理学—物理]