| Lorenz系统中时间序列的相空间重构方法与特性 |
| |
| 引用本文： | 王妍,徐伟.Lorenz系统中时间序列的相空间重构方法与特性[J].振动工程学报,2006,19(2):277-282. |
| |
| 作者姓名： | 王妍 徐伟 |
| |
| 作者单位： | 1. 西北工业大学理学院,陕西,西安,710072;山东大学数学与系统科学学院,山东,济南,250100
2. 西北工业大学理学院,陕西,西安,710072 |
| |
| 摘 要： | 讨论了单变量非线性时间序列、重构相空间和恢复系统非线性动力学特性的方法。在对Lorenz系统的时间序列进行相空间重构的基础上，提出一种相空间重构新方法，即对重构后的相空间再作K-L变换。采用这种方法可以更多地保留系统信息，并消除重构相空间中各向量的相关性。
|
| 关 键 词： | 非线性 Lorenz系统 时间序列 相空间重构 K-L变换 |
| 文章编号： | 1004-4523(2006)02-0277-06 |
| 收稿时间： | 2005-06-15 |
| 修稿时间： | 2005-11-21 |
The methods and performance of phase space reconstruction for the time series in Lorenz system |
| |
| WANG Yan,XU Wei.The methods and performance of phase space reconstruction for the time series in Lorenz system[J].Journal of Vibration Engineering,2006,19(2):277-282. |
| |
| Authors: | WANG Yan XU Wei |
| |
| Abstract: | In this paper, non-linear time series of the single variable, and the methods, through which the phase-space is reconstructed and the nonlinear kinetics characteristics are resumed, are discussed. On the basis of the phase-space reconstruction for time series of Lorenz system, via K-L transformation method, a new method of phase-space reconstruction is put forward. Through this method the most of energy of the original signal is kept, and the correlations among all the vectors are eliminated absolutely. |
| |
| Keywords: | nonlinearity Lorenz systems time series phase-space reconstructiQn K-L transformation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
