AN ANALYTIC AND APPLICATION TO STATE SPACE RECONSTRUCTION ABOUT CHAOTIC TIME SERIES  

作　　者：马军海 陈予恕 

机构地区：[1]School of Management,Tianjin University,Tianjin 300072,P R China [2]Department of Mechanics,Tianjin University,Tianjin 300072,P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2000年第11期1237-1245,共9页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(19990510)

摘　　要：The state space, reconstruction is the major important quantitative index for describing non-linear chaotic time series. Based on the work of many scholars, such as: AT. H. Packard, F. Takens, M. Casdagli, J. F. Gibson, CHEN Yu-shu et al, the state space was reconstructed using the method of Legendre coordinate. Several different scaling regimes for lag time tau were identified. The influence for state space reconstruction of lag time tau was discussed. The result tells us that is a good practical method for state space reconstruction.The state space, reconstruction is the major important quantitative index for describing non-linear chaotic time series. Based on the work of many scholars, such as: AT. H. Packard, F. Takens, M. Casdagli, J. F. Gibson, CHEN Yu-shu et al, the state space was reconstructed using the method of Legendre coordinate. Several different scaling regimes for lag time tau were identified. The influence for state space reconstruction of lag time tau was discussed. The result tells us that is a good practical method for state space reconstruction.

关 键 词：chaotic time series state space reconstruction Legendre coordinates? 

分 类 号：O211[理学—概率论与数理统计]