Asymptotic solutions to a class of nonlinear oscillation systems
文献类型：期刊论文
| 作者 | Dai SQ(戴世强) ; Zhuang FQ(庄峰青)
|
| 刊名 | Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences
 |
| 出版日期 | 1986 |
| 卷号 | 29期号:7页码:737-744 |
| ISSN号 | 0253-5831 |
| 通讯作者 | DAI, SQ (reprint author), SHANGHAI INST APPL MATH & MECH,SHANGHAI,PEOPLES R CHINA. |
| 中文摘要 | In this paper, we present an asymptotic method for the analysis of a class of strongly nonlinear oscillators, derive second-order approximate solutions to them expressed in terms of their amplitudes and phases, and obtain the equations governing the amplitudes and phases, by which the amplitudes of the corresponding limit cycles and their behaviour can be determined. As an example, we investigate the modified van der Pol oscillator and give the second-order approximate analytical solution of its limit cycle. The comparison with the numerical solutions shows that the two results agree well with each other. |
| 类目[WOS] | Multidisciplinary Sciences |
| 研究领域[WOS] | Science & Technology - Other Topics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:A1986D978300007 |
| 公开日期 | 2009-08-03 ; 2010-08-20 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/39760]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Dai SQ,Zhuang FQ. Asymptotic solutions to a class of nonlinear oscillation systems[J]. Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,1986,29(7):737-744. |
| APA | 戴世强,&庄峰青.(1986).Asymptotic solutions to a class of nonlinear oscillation systems.Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,29(7),737-744. |
| MLA | 戴世强,et al."Asymptotic solutions to a class of nonlinear oscillation systems".Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences 29.7(1986):737-744. |
入库方式： OAI收割
来源：力学研究所
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