本文研究了一种正交多项式混沌全局建模方法 ,所用正交多项式集以吸引子不变测度为核 .通过对H啨ｎｏｎ映射数据和电离层参数实测数据的分析 ,表明在待建模系统不很复杂时 (其内在机理可用较低阶多项式表达 ) ,这种全局建模方法能得到系统动力学特性 .在低噪声情况下模型还能充分精确地重构系统方程式 .在噪声较大或系统内在机理很复杂时建模结果仍可用于一步预测 ,且具有较好效果 In this paper, an orthogonal polynomial chaos global modeling method is used, and the orthogonal polynomial set is based on the invariant measure of attractor.After analyzing the data of H 啨 non mapping and the measured data of ionospheric parameters, it is shown that in the system to be modeled When the complexity is not very complicated (the internal mechanism can be expressed by a lower-order polynomial), this global modeling method can obtain the system dynamics. The model can also reconstruct the system equations sufficiently accurately under low noise conditions. When the noise is large or When the system’s internal mechanism is very complicated, the modeling result can still be used for one-step prediction and has good effect