Applied Mathematics and Mechanics

, Volume 26, Issue 4, pp 449–456 | Cite as

Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system

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Fractal characters and fractal dimension of time series created by repeller in complicated system were studied and the time series were reconstructed by applying the theory of phase space reconstruction for chaotic time series. The influence of zero-mean treatment, Fourier filter on prediction for time series were studied. The choice of prediction sample affects the relative error and the prediction length which were also under good concern. The results show that the model provided here are practical for the modeling and prediction of time series created by chaotic repellers. Zero-mean treatment has changed prediction result quantitatively for chaotic repeller sample data. But using Fourier filter may decrease the prediction precision. This is theoretical and practical for study on chaotic repeller in complicated system.

Key words

complicated system saddle point chaotic repeller reconstruction technique 

Chinese library classification

O175.14 O241.81 

2000 mathematics subject classification

03C99 68W99 32H50 

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Copyright information

© Editorial Committee of Appl. Math. Mech 2005

Authors and Affiliations

  1. 1.Management SchoolTianjin UniversityTianjinP. R. China
  2. 2.Tianjin University of Finance and EconomicsTianjinP. R. China
  3. 3.Mechanical Engineering SchoolTianjin UniversityTianjinP. R. China

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