Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance
文献类型：期刊论文
| 作者 | Hong, JL ; Liu, Y
|
| 刊名 | COMPUTER PHYSICS COMMUNICATIONS
 |
| 出版日期 | 2000-09-01 |
| 卷号 | 131期号:1-2页码:86-94 |
| 关键词 | weak invariances symplectic schemes numerical quasiperiodic solutions exponential dichotomies nonautonomous Hamiltonian systems |
| ISSN号 | 0010-4655 |
| 英文摘要 | If X(t) is a fundamental matrix of the linear nonautonomous Hamiltonian system dx/dt = J A(t)x(*) with X(0)(T)JX(0) = J, then X(t)(T)JX(t) = J for every t is an element of R. This symplectic property is called the weak invariance of the system (*). In this paper we first set up some numerical schemes preserving the weak invariance of the system (*) for numerical computation of the fundamental matrix X(t) with X(0)(T)JX(0) = J. Based on the above schemes, we give an algorithm of numerically periodic and numerically quasiperiodic solutions for the nonautonomous Hamiltonian system by using the exponential dichotomy of linear differential systems. (C) 2000 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089175500008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15703]  |
| 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 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, JL,Liu, Y. Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance[J]. COMPUTER PHYSICS COMMUNICATIONS,2000,131(1-2):86-94. |
| APA | Hong, JL,&Liu, Y.(2000).Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance.COMPUTER PHYSICS COMMUNICATIONS,131(1-2),86-94. |
| MLA | Hong, JL,et al."Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance".COMPUTER PHYSICS COMMUNICATIONS 131.1-2(2000):86-94. |
入库方式： OAI收割
来源：数学与系统科学研究院
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