Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level

MA Jun-hai; WANG Zhi-qiang; CHEN Yu-shu

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MA Jun-hai, WANG Zhi-qiang, CHEN Yu-shu. Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level[J]. Applied Mathematics and Mechanics, 2006, 27(1): 6-12.

Citation:

MA Jun-hai, WANG Zhi-qiang, CHEN Yu-shu. Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level[J]. Applied Mathematics and Mechanics, 2006, 27(1): 6-12.

Citation:

MA Jun-hai, WANG Zhi-qiang, CHEN Yu-shu. Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level[J]. Applied Mathematics and Mechanics, 2006, 27(1): 6-12.

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Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level

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

Received Date: 2004-05-08
Rev Recd Date: 2005-09-06
Publish Date: 2006-01-15

Abstract

Abstract

Not only the noise reduction methods of chaotic time series with noise and its reconstruction techniques were studied,but also prediction techniques of chaotic time series and its applications were discussed based on chaotic data noise reduction.First the phase space of chaotic time series was decomposed to range space and null noise space'secondly original chaotic time series was reconstrucled in range space.Lastly on the basis of the above,the order of the nonlinear model was established and the nonlinear model was made use of to predict some research.The result indicates that the nonlinear model has very strong ability of approximation function,and Chaos prediction method has certain tutorial significance to the practical problems.
- chaotic time series,
- noise reduction,
- essential characteristic extraction,
- Non_linear model,
- predict technology

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References(12)

References

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