| 动力系统实测数据相空间重构的改进方法 |
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| 引用本文： | 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. |
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| 作者姓名： | 陈国华 马军海 盛昭瀚 |
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| 作者单位： | 东南大学系统工程研究所,南京,210096 |
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| 基金项目： | 国家自然科学资金!69874 0 0 4 |
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| 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。
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| 关 键 词： | 动力系统 实测数据 非线性混沌数据 嵌入空间矩阵 本征值 相空间重构 |
A New Algorithm of the Phase Space Reconstruction for the Data Obtained in Dynamical Systems |
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| 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. |
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| Authors: | Chen Guohua Ma Junhai Sheng Zhaohan |
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| 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. |
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| Keywords: | non linear chaotic data embedding space matrix eigenvalue and eigenvector state space reconstruction |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
