An Analytic and Application to State Space Reconstruction About Chaotic Time Series

MA Jun-hai; CHEN Yu-shu

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(11): 1117-1124

MA Jun-hai, CHEN Yu-shu. An Analytic and Application to State Space Reconstruction About Chaotic Time Series[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1117-1124.

Citation:

MA Jun-hai, CHEN Yu-shu. An Analytic and Application to State Space Reconstruction About Chaotic Time Series[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1117-1124.

Citation:

MA Jun-hai, CHEN Yu-shu. An Analytic and Application to State Space Reconstruction About Chaotic Time Series[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1117-1124.

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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 Date: 1999-07-12
Rev Recd Date: 2000-06-25
Publish Date: 2000-11-15

Abstract

Abstract

The state space reconstruction is the major important quantitative index for describing nonlinear chaotic time series.Based on the work of many scholars,such as:N.H.Packard,F.Takens M.Casdagli J.F.Bibson,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.
- chaotic time series,
- state space reconstruction,
- Legendre coordinates

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References(15)

References

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