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The Complexity and Application Research of Several Attractors About Economic System Time Series
作者姓名:Tao  Sun  Junhai  Ma
作者单位:Management School, Tianjin University, Tianjin 300072, China
基金项目:This project is supported by National Natural Science Foundation of China (70271071), Education department of Tianjin (20041702)
摘    要:In this paper, time series with stable convergence, saddles, Hopf bifurcations and chaotic points in one kind of complicated systems have been studied in respects of: fractal characteristic and fractal dimension. By using phase space reconstruction technology of chaotic time series, work of reconstruction has been done respectively on these four different conditions and further by applying wavelet network models, work of modeling and prediction have been done accordingly. The results indicate: treatment of zero mean value in the identification of the chaotic models has no obvious influence on precision and length of predictions, while the treatment by Fourier Filter can damage effectiveness of prediction.

关 键 词:稳定收敛  鞍基  分歧理论  混沌理论  非线性模型
收稿时间:2005-11-23

The Complexity and Application Research of Several Attractors About Economic System Time Series
Tao Sun Junhai Ma.The Complexity and Application Research of Several Attractors About Economic System Time Series[J].Journal of Sysytems Science and Information,2006,4(3):571-579.
Authors:Tao;Sun;Junhai;Ma
Abstract:
Keywords:stable convergence  saddle  bifurcation  fractal  chaos  models of non-linear  technology of reconstruction
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