强非线性振子的渐近分析

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Asymptotic Analysis of Strongly Nonlinear Oscillators

摘要: 本文提出一种渐近方法,用来分析一类强非线性自治振动系统,给出了振幅和相位所满足的方程,并确定了极限环的振幅和稳定性.

Abstract: In this paper, an asymptotie method is presented for the analysis of a class of observed nonlincar autonomous oscillators. The equations governing the amplitude and phase faeter are obtained, and the amplitude and stabilitv of the corresponding limit cycles are determined.

[1]	钱伟长,奇异摄动理论及其在力学中的应用,科学出版社(1981).
[2]	Kevorkian,J.and J.D.Cole,Perturbation Methods in Applied Mathematics,Springer-Verlag.New York(1981).
[3]	Kuzmak.G.E.,Asymptotic solutions of nonlinear second order diftensity variable cofficients,PMM(USSR).23(1959).515-526..
[4]	Luke,J.C..A perturbation method for nonlinear dispersive wave problems.Proc.Roy.Soc Ser,A292(1966).403-412.
[5]	Whitham.G.B.,Linear and Nonlinear Waves.John Wiley & Sons.Inc.,New York(1974).
[6]	Burton,T.D.,Non-linear oscillator limit cycle analysis using a time transformation approach.Int.J.Non-Linear Mech.,17(1982).7-19.
[7]	Боголюбов Н.Н.и Ю.А.Митролололъский,Асцмпмомцческце Мемобы э Теорцц Нелцнейных Колебанцй(Изд.4),Издательство《Наука》Москва(1974)
[8]	Byrd,P.F.and M.D.Friedman.Handbook of Elliptic Integrals for Engineers and Scientist 2nd Ed.,Springer-Verlag.New York(1971).