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| Asymptotic solutions to a class of nonlinear oscillation systems | |
Dai SQ(戴世强) ; Zhuang FQ(庄峰青); DAI, SQ (reprint author), SHANGHAI INST APPL MATH & MECH,SHANGHAI,PEOPLES R CHINA.
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| Source Publication | Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences
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| 1986 | |
| Volume | 29Issue:7Pages:737-744 |
| ISSN | 0253-5831 |
| Abstract | 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. |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:A1986D978300007 |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39760 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | DAI, SQ (reprint author), SHANGHAI INST APPL MATH & MECH,SHANGHAI,PEOPLES R CHINA. |
| Recommended Citation GB/T 7714 | Dai SQ,Zhuang FQ,DAI, SQ . 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,&DAI, SQ .(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. |
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