Abstract：In this article,we study a chaotic global modeling method based on a set of polynomials defined on the attractor's invariant measure as its kernel.Through analysis of Hénon map data and observed data of ionospheric parameters,it is shown that if the underlying system is simple enough to be represented by low-order polynomials,this method can capture the dynamics of the system.Also,when the noise level is low,we can acquire the equation of the system.When noise level is higher or the system is more complex,we still can use the reconstructed model to perform one-step prediction in a fairly good fashion.
简相超;郑君里. 一种正交多项式混沌全局建模方法[J]. 电子学报, 2002, 30(1): 76-78.
JIAN Xiang-chao;ZHENG Jun-li. A Chaotic Global Modeling Method Based on Orthogonal Polynomials. Chinese Journal of Electronics, 2002, 30(1): 76-78.
2002, Vol. 30 
