单纯形投影算子理论及在资料分析中的应用 Ⅰ.在方程模型资料预测中的应用

魏恩泊; 许金山; 郭建国; 田纪伟

单纯形投影算子理论及在资料分析中的应用 Ⅰ.在方程模型资料预测中的应用

1.
青岛海洋大学物理海洋实验室, 青岛 266003
2.
国家海洋局烟台管区, 烟台 264000

基金项目: 国家自然科学基金资助项目(编号:49476254);国家教委跨世纪优秀人才培养计划基金资助项目

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出版历程
- 收稿日期: 1997-04-28
- 修回日期: 1998-03-16

Theory of simplex projection operator and its application to analyze data Ⅰ. Application to forecast equation model data

1.
Laboutaey of Physical Oceanugraphy, Ocean Uniuersity of Qingdao, Qingdao, 266003
2.
Yantai Oceanic District, State Oceanic Administration, Yantai 264000

摘要

摘要: 本文根据混沌系统奇怪吸引子在相空间中的伸缩和折叠的几何特征,建立了单纯形投影算子(simplex projection operator)预测方法.该方法主要侧重考虑了被预测点的局部非线性特征及Lyapunov特征指数,避免了传统预测函数和方程的模拟问题,减少了模拟参量.对Lorenz方程和Logistic映射资料进行预测分析的结果表明,此方法简单易行,缩短了计算时间,在预测时问尺度及精度上具有较强的预测能力.
- 单纯形投影算子 /
- Lyapunov特征指数 /
- 相空间
Abstract: In this paper we build a forecast method of simplex projection operator using fold and extensio: character of chaotic attracting sets in phase space.The forecast method is concerned with local nonlinear and Lyapunov characteristic exponent of predieted points, avoids the problem of traditional analogue predictive functions and equations, decreases some analogue parameters.The method is used to forecast the time series data of Lorenz and Logistic model,and the forecast results show that the method is simple and available, reduces compute tirrm and has stronger forecast power within time scales and precision.
- Simplex projection operator /
- Lyapunov exponent /
- phase space

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文章访问数: 780
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