The computation of Lyapunov exponents for periodic trajectories
文献类型：期刊论文
| 作者 | Hong, JL
|
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 15期号:12页码:4075-4080 |
| 关键词 | Lyapunov exponent Floquet theory Lie group method periodic trajectory |
| ISSN号 | 0218-1274 |
| 英文摘要 | We present a new method for the numerical computation of Lyapunov exponents of periodic trajectories which is crucial in the investigation of dynamics. The computational time of this method is merely a period of the periodic trajectory considered, when Lyapunov exponents call be approximated as precise as one wants. Our method stems from a combination between Floquet theory on periodic linear differential systems and Lie group methods in structure preserving algorithms on manifolds. The Lyapunov exponents of a periodic trajectory of the Lorenz system and a periodic solitary wave of the nonlinear Schrodinger equation with periodic coefficients are investigated by using the method. |
| 语种 | 英语 |
| WOS记录号 | WOS:000236293600019 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1699]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hong, JL |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, JL. The computation of Lyapunov exponents for periodic trajectories[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2005,15(12):4075-4080. |
| APA | Hong, JL.(2005).The computation of Lyapunov exponents for periodic trajectories.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,15(12),4075-4080. |
| MLA | Hong, JL."The computation of Lyapunov exponents for periodic trajectories".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 15.12(2005):4075-4080. |
入库方式： OAI收割
来源：数学与系统科学研究院
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