| 混沌时间序列全局预测新方法——连分式法 |
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| 引用本文： | 张森,肖先赐.混沌时间序列全局预测新方法——连分式法[J].物理学报,2005,54(11):5062-5068. |
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| 作者姓名： | 张森 肖先赐 |
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| 作者单位： | (1)电子科技大学电子工程学院,成都 610054; (2)电子科技大学电子工程学院,成都 610054;宜宾学院数学系,四川 644007 |
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| 基金项目： | 国防预研基金(批准号：51435050101DZ0203)资助的课题. |
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| 摘 要： | 拓展了多项式逼近理论，利用连分式法建立了混沌时间序列非线性全局预测模型，此模型替代混沌序列的动力学方程，实现对其动力学特性分析，达到预测目的. 理论分析和仿真实验表明，连分式法能够有效预测一些混沌序列，该方法预测精度高，并且能得到显式的预测表达式.
关键词：
混沌时间序列
全局预测
连分式
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| 关 键 词： | 混沌时间序列 全局预测 连分式 |
| 文章编号： | 1000-3290/2005/54(11)/5062-07 |
| 收稿时间： | 03 24 2005 12:00AM |
| 修稿时间： | 2005-03-242005-04-25 |
A new method of global prediction for chaotic time series based on continued fractions |
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| Zhang Sen,Xiao Xian-Ci.A new method of global prediction for chaotic time series based on continued fractions[J].Acta Physica Sinica,2005,54(11):5062-5068. |
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| Authors: | Zhang Sen Xiao Xian-Ci |
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| Institution: | 1.College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; 2.Department of Mathematics, Yibin University, Yibin 644007, China |
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| Abstract: | A non-linear predictable global model for chaotic time series is built based on continued fractions after developing the method of polynomial approximants in theory. We can analyze the characteristics and realize the prediction by substituting the model for the equation of chaotic time series. The results of theoretical analysis and computer simulation have proved this method to be practically feasible for predicting a chaotic series accurately and give its explicit expression. |
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| Keywords: | chaotic time series global prediction continued fractions |
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