| 三种动力系统实测数据奇异值的比较 |
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| 引用本文： | 马军海,刘曾荣.三种动力系统实测数据奇异值的比较[J].天津大学学报(自然科学与工程技术版),1999,32(3):275-279. |
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| 作者姓名： | 马军海 刘曾荣 |
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| 作者单位： | [1]天津大学机械工程学院 [2]苏州大学 |
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| 摘 要： | 嵌入空间矩阵的本征值是定理描述混沌吸收子的重要指标，应用本征值分解技术对３种动力系统实测数据嵌入空间矩阵的本征值进行了计算，并具体计算基嵌入空间矩阵的本征值及其本征向量，提出了对不同的实测数据嵌入空间矩阵基的具体选取方法，并相互比较不同的动力系统实测数据和本征值等量，从而奠定了不同动力系统实测混沌数据的相变间重构的基础。
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| 关 键 词： | 实测混沌数据 非线性动力学 奇异值 动力系统 |
COMPARISON BETWEEN THE MEASURED VALUES OF THE SINGULAR VALUES OBTAINED FORM THREE DIFFERENT DYNAMIC SYSTEMS |
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| Ma,Junhai,Chen,Yushu.COMPARISON BETWEEN THE MEASURED VALUES OF THE SINGULAR VALUES OBTAINED FORM THREE DIFFERENT DYNAMIC SYSTEMS[J].Journal of Tianjin University(Science and Technology),1999,32(3):275-279. |
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| Authors: | Ma Junhai Chen Yushu |
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| Abstract: | The singular value of the embedding space matrix is the important quantitaive index for describing chaotic attractors,The method of the singular value decomposition is used to calculate the measured values of the eigenvalue of the embedding space matrix of the three different dynamic systems,and the singular values are compared with each other.The corresponding algorithm to calculate the eigenvectors and obtain the basis of the embedding vector space are proposed in this paper.The fundamental work of the phase space reconstruction has been done already. |
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| Keywords: | chaotic data embedding space matrix eigenvalue eigenvector |
| 本文献已被 CNKI 维普 等数据库收录！ |
