Phase Space Prediction Model Based on the Chaotic Attractor

Chin. Phys. Lett.

2002, Vol. 19

Issue (7): 904-907 DOI:

Original Articles

Phase Space Prediction Model Based on the Chaotic Attractor

LI Ke-Ping^1,2;CHEN Tian-Lun²

¹Institute of Systems Science, Northern Jiaotong University, Beijing 100044 ²Department of Physics, Nankai University, Tianjin 300071

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LI Ke-Ping, CHEN Tian-Lun 2002 Chin. Phys. Lett. 19 904-907

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Abstract A new prediction technique is proposed for chaotic time series. The usefulness of the technique is that it removes some false neighbouring points which are not suitable for the local estimation of the dynamics systems. We use a feedforward neural network to approximate the local dominant Lyapunov exponent, and choose the neighbouring points by the exponent. The model is tested for the convection amplitude of the Lorenz model, and the results indicate that this prediction technique can improve the prediction of chaotic time series.

Keywords: 05.45.+b

Published: 01 July 2002

PACS:

05.45.+b

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I7/0904

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