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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
Theory of simplex projection operator and its application to analyze data Ⅰ. Application to forecast equation model data
【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(simplexprojectionoperator)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.
【Abstract】 In this paper we build a forecast method of simplex projection operator using fold and extension character of chaoticattracting sets in phase space. The forecast method is concerned with local nonlinear and I.yapunov characteristic exponent of predicted 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 I.orenz and Logistic model, and the forecast results show that the methodis simple and available, reduces compute time and has stronger forecast power within time scales and precision.
【Key words】 Simplex projection operator; Lyapunov exponent; phase space;
- 【文献出处】 海洋学报(中文版) ,ACTA OCEANOLOGICA SINICA , 编辑部邮箱 ,1999年02期
- 【分类号】O19
- 【被引频次】3
- 【下载频次】75