[1]陈国华,马军海,盛昭瀚.动力系统实测数据相空间重构的改进方法[J].东南大学学报(自然科学版),2000,30(1):16-21.[doi:10.3969/j.issn.1001-0505.2000.01.003]
 Chen Guohua,Ma Junhai,Sheng Zhaohan.A New Algorithm of the Phase Space Reconstruction for the Data Obtained in Dynamical Systems[J].Journal of Southeast University (Natural Science Edition),2000,30(1):16-21.[doi:10.3969/j.issn.1001-0505.2000.01.003]
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动力系统实测数据相空间重构的改进方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
30
期数:
2000年第1期
页码:
16-21
栏目:
数学、物理学、力学
出版日期:
2000-01-20

文章信息/Info

Title:
A New Algorithm of the Phase Space Reconstruction for the Data Obtained in Dynamical Systems
作者:
陈国华 马军海 盛昭瀚
东南大学系统工程研究所,南京 210096
Author(s):
Chen Guohua Ma Junhai Sheng Zhaohan
Institute of Systems Engineering, Southeast University, Nanjing 210096
关键词:
非线性混沌数据 嵌入空间矩阵 本征值及本征向量 相空间重构
Keywords:
non-linear chaotic data embedding space matrix eigenvalue and eigenvector state space reconstruction
分类号:
O175.14;O241.81
DOI:
10.3969/j.issn.1001-0505.2000.01.003
摘要:
应用本征值分解技术对动力系统实测数据嵌入空间矩阵的本征值进行了计算,提出了具体计算嵌入空间矩阵本征值及其本征向量的改进计算方法,以及嵌入空间矩阵基的改进选取方法.并将所得到的动力系统实测混沌数据向已正交化、单位化了的本征向量上投影,从而完成了动力系统实测混沌数据的相空间重构工作.
Abstract:
The new method of the singular-value decomposition is used to calculate the eigenvalue of embedding space matrix, and the corresponding algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is put up in this paper. The projection on the orthogonal basis generated by eigenvectors of timeseries data, and concrete paradigms are given the follow. Meanwhile the fundamental work for the state space reconstruction was done already.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目:国家自然科学资金资助项目(69874004).
第一作者:男,1969年生,博士研究生.
更新日期/Last Update: 2000-01-20