Asymptotic solutions to a class of nonlinear oscillation systems

CORC > 力学研究所 > 中国科学院力学研究所 > 力学所知识产出(1956-2008)

	Asymptotic solutions to a class of nonlinear oscillation systems
	Dai SQ(戴世强); Zhuang FQ(庄峰青)
刊名	Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences
	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
内容类型	期刊论文
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.