Study on the Prediction Method of Low-Dimension Time Series that Arise from the Intrinsic Nonlinear Dynamics |
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Authors: | Jun-hai Ma Yu-shu Chen |
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Institution: | 1. School of Management, Tianjin University, Tianjin 300072, P R China 2. Department of Mechanics, Tianjin University, Tianjin 300072, P R China |
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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.
Paper from Chen Yu-shu, Member of Editorial of Committee, AMM
Foundation item: the National Natural Science Foundation of China (19990510); the National Key Basic Research Special Fund(G1998020316)
Biography: Ma Jun-hai(1965-), Professor, Doctor |
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Keywords: | nonlinear chaotic model parameter identification time series prediction |
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