一類基于奇異值分解的Lyapunov指數計算方法

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一類基于奇異值分解的Lyapunov指數計算方法

張曉丹, 李志萍, 張麗麗

文章導航 > 工程科學學報 > 2005 > 27(3): 371-374

張曉丹, 李志萍, 張麗麗. 一類基于奇異值分解的Lyapunov指數計算方法[J]. 工程科學學報, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

引用本文:

張曉丹, 李志萍, 張麗麗. 一類基于奇異值分解的Lyapunov指數計算方法[J]. 工程科學學報, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

ZHANG Xiaodan, LI Zhiping, ZHANG Lili. A method based on singular value decomposition for computation of Lyapunov exponent[J]. Chinese Journal of Engineering, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

Citation:

ZHANG Xiaodan, LI Zhiping, ZHANG Lili. A method based on singular value decomposition for computation of Lyapunov exponent[J]. Chinese Journal of Engineering, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

張曉丹, 李志萍, 張麗麗. 一類基于奇異值分解的Lyapunov指數計算方法[J]. 工程科學學報, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

引用本文:

張曉丹, 李志萍, 張麗麗. 一類基于奇異值分解的Lyapunov指數計算方法[J]. 工程科學學報, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

ZHANG Xiaodan, LI Zhiping, ZHANG Lili. A method based on singular value decomposition for computation of Lyapunov exponent[J]. Chinese Journal of Engineering, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

Citation:

ZHANG Xiaodan, LI Zhiping, ZHANG Lili. A method based on singular value decomposition for computation of Lyapunov exponent[J]. Chinese Journal of Engineering, 2005, 27(3): 371-374. doi: 10.13374/j.issn1001-053x.2005.03.029

一類基于奇異值分解的Lyapunov指數計算方法

doi: 10.13374/j.issn1001-053x.2005.03.029

1. 北京科技大學應用科學學院, 北京 100083;
2. 廣東工業大學應用數學學院, 廣州 510090

基金項目:

國家自然科學基金資助項目(No.70271068)

作者簡介:
張曉丹(1960-),女,教授

中圖分類號: O175
計量
- 文章訪問數: 140
- HTML全文瀏覽量: 29
- PDF下載量: 12
- 被引次數: 0
出版歷程
- 收稿日期: 2004-05-25
- 修回日期: 2004-12-27
- 網絡出版日期: 2021-08-17

A method based on singular value decomposition for computation of Lyapunov exponent

1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China;
2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China

摘要: 基于奇異值分解提出了一種有效的計算Lyapunov指數的方法.該方法既適用于離散系統也適用于連續系統,且避免了頻繁的重正交過程.數值計算顯示,該方法穩定性好,計算效率較高,計算結果可靠.
- Lyapunov指數 /
- 離散系統 /
- 連續系統 /
- 奇異值分解
Abstract: An efficient method based on Singular Value Decomposition (SVD) for the computation of Lyapunov exponent is presented. This method is applicable not only to discrete systems but also to continuous systems, and it does not require frequent reorthogonalization. Numerical calculations show that the method is stable and has a higher computing efficiency, and the results are credible.
- Lyapunov exponent /
- discrete system /
- continuous systems /
- singular value decomposition

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文章訪問數: 140
HTML全文瀏覽量: 29
PDF下載量: 12
被引次數: 0

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