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

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (11): 1237-1245.

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

马军海¹, 陈予恕²

1. School of Management, Tianjin University, Tianjin 300072, P R China;
2. Department of Mechanics, Tianjin University, Tianjin 300072, P R China

收稿日期:1999-07-12 修回日期:2000-06-25 出版日期:2000-11-18 发布日期:2000-11-18
基金资助:
the National Natural Science Foundation of China(19990510)

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

MA Jun-hai¹, CHEN Yu-shu²

1. School of Management, Tianjin University, Tianjin 300072, P R China;
2. Department of Mechanics, Tianjin University, Tianjin 300072, P R China

Received:1999-07-12 Revised:2000-06-25 Online:2000-11-18 Published:2000-11-18
Supported by:
the National Natural Science Foundation of China(19990510)

摘要/Abstract

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: N.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 τ were identified. The influence for state space reconstruction of lag time τ was discussed. The result tells us that is a good practical method for state space reconstruction.

中图分类号:

马军海;陈予恕. AN ANALYTIC AND APPLICATION TO STATE SPACE RECONSTRUCTION ABOUT CHAOTIC TIME SERIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(11): 1237-1245.

MA Jun-hai;CHEN Yu-shu. AN ANALYTIC AND APPLICATION TO STATE SPACE RECONSTRUCTION ABOUT CHAOTIC TIME SERIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(11): 1237-1245.

参考文献

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

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

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