GM(1,1) grey prediction of Lorenz chaotic system

被引:60
作者
Zhang, Yagang [1 ,2 ]
Xu, Yan [1 ]
Wang, Zengping [1 ]
机构
[1] N China Elect Power Univ, Dept Math & Phys, Minist Educ, Key Lab Power Syst Protect & Dynam Secur Monitori, Baoding 071003, Hebei, Peoples R China
[2] Yunnan Univ, Sch Phys Sci & Technol, Ctr Nonlinear Complex Syst, Kunming 650091, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
MODEL;
D O I
10.1016/j.chaos.2009.02.031
中图分类号
O1 [数学];
学科分类号
070101 [基础数学];
摘要
The grey prediction of Lorenz chaotic system will be discussed carefully in this paper, We are mainly using GM(I, I) model to predict data sequences, and the usual prediction precision has exceeded 90%. In the symbolic prediction of Lorenz chaotic dynamical system, the precision of grey prediction certainly will decrease as the length of symbolic sequence is increasing. But in this place we have found a generating rule that may realize chaotic synchronization at least in a short and medium term, and we can analysis and predict in this way. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1003 / 1009
页数:7
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