Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics

MA Jun-hai; CHEN Yu-shu

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(5): 441-448

MA Jun-hai, CHEN Yu-shu. Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics[J]. Applied Mathematics and Mechanics, 2001, 22(5): 441-448.

Citation:

MA Jun-hai, CHEN Yu-shu. Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics[J]. Applied Mathematics and Mechanics, 2001, 22(5): 441-448.

Citation:

MA Jun-hai, CHEN Yu-shu. Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics[J]. Applied Mathematics and Mechanics, 2001, 22(5): 441-448.

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Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics

MA Jun-hai¹,
CHEN Yu-shu²

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

Received Date: 2000-02-22
Rev Recd Date: 2001-01-08
Publish Date: 2001-05-15

Abstract

Abstract

The prediction methods and its applications of the nonlinear dynamic systems determined from chaotic time series of low dimension are discussed mainly.Based on the work of the foreign researchers,the chaotic time series in the phase space adopting one kind of nonlinear chaotic model were reconstructed.At first,the model parameters were estimated by using the improved least square method.Then as the precision was satisfied,the optimization method was used to estimate these parameters.At the end by using the obtained chaotic model,the future data of the chaotic time series in the phase space was predicted.Some representative experimental examples were analyzed to testify the models and the algorithms developed in this paper.The results show that if the algorithms developed here are adopted,the parameters of the corresponding chaotic model will be easily calculated well and true.Predictions of chaotic series in phase space make the traditional methods change from outer iteration to interpolations.And if the optimal model rank is chosen,the prediction precision will increase notably.Long term superior predictability of nonlinear chaotic models is proved to be irrational and unreasonable.
- nonlinear,
- chaotic model,
- parameter identification,
- time series prediction

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References(19)

References

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