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

计量
- 文章访问数: 762
- HTML全文浏览量: 12
- PDF下载量: 843
- 被引次数: 0
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

HTML全文

参考文献(17)

Hamel S.A noise reduction method for chaotic system.Phy.Lett.A,1990.148,421-428

Kennel M.Method to distinguish possible chaos from color noise and to determine embeddinq parameters.Phy.Rev.A,1992,463 111-3 118

Jafffe B.Rahin D.Using nonlinear forecasting to learn the magnitude and phasing of time varying sediment suspension in the surfzone.J.G.R.1996.101.14 283~14 296

Farmer J D.Sidorowich J.Predicting chaotic time series.Phy.Rev.l.ett.,1987.59.845~848

Henry D I.Prediction in chaotic nonlinear system:method of time series with broad Fourier spectra.Phy.Rev.A,1990,41,1 782~1 807

Elsner J,Tsonis A A.Nonlinear prediction,chao and noise.Bull.Am.Met.Soc.,1992,73,49~60

Tsonis A.Reconstruction of Dynamics from Observable.Chaos.New York:Pleum Publishing Corporation.1993.149~241

田纪伟,孙孚,楼顺里等.相空间反演方法及其在海洋资料分析中的应用.海洋学报,1996,18(4):1~10

Casdagli M.Nonlinear prediction of chaotic time series.Phy.D,1989,35,335~356

Barahona M.Poon C S.Detection of nonlinear dynamics in short,noisy time series.Nature,1996.381,215~217

Manuca R.Savit R.Model misspecification tests,model building and predictability in complex systems.Phy.D,1996.93.78~100

Sugihara G.May R M.Nonlinear forecasting as a way of distinguishing chaos from measurement error in the time series.Nature,1990.344,734~741

Wales D.Calculating the rate of loss of information from chaotic time series by forecasting.Nature.1991,350.485~488

Tsonis A,Elsner J 13.Nonlinear prediction as a way of distinguishing chaos from random fractal sequences.Nature.1992.358.217~220

Wayland R.Recognizing determinism in a time series.Phy.Rev.I,ett.,1993,70.580~582

EH斯潘尼尔著,左再思译.代数拓扑学.上海:上海科学技术出版社,1987,124~132

陈式刚.映象与混沌.北京:国防工业出版社,1992.106~108

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 762
HTML全文浏览量: 12
PDF下载量: 843
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板