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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

, PP. 34-39

Keywords: 单纯形投影算子,Lyapunov特征指数,相空间

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Abstract:

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.

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