| ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING |
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| 引用本文： | 程友良,戴世强.ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING[J].应用数学和力学(英文版),1994,15(1):7-12. |
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| 作者姓名： | 程友良 戴世强 |
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| 作者单位： | Cheng You-liang Department of Fundamental Courses，North China Institure of Electric Power，Baoding) Dai Shi-qiang Shanghai University of Technology;Shanghai Institute of Applied Mathematics and Mechanics，Shanghai) |
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| 摘 要： | ＡＳＹＭＰＴＯＴＩＣＡＮＡＬＹＳＩＳＯＦＡＣＬＡＳＳＯＦＮＯＮＬＩＮＥＡＲＯＳＣＩＬＬＡＴＩＯＮＥＱＵＡＴＩＯＮＩＮＥＬＥＣＴＲＩＣＡＬＥＮＧＩＮＥＥＲＩＮＧＣｈｅｎｇＹｏｕ－ｌｉａｎｇ（程友良）（ＤｅｐａｒｔｍｅｎｔｏｆＦｕｎｄａｍｅｎｔａｌＣｏｕ...
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| 收稿时间： | 16 November 1992 |
Asymptotic analysis of a class of nonlinear oscillation equation in electrical engineering |
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| Chen You-liang,Dai Shi-qiang.Asymptotic analysis of a class of nonlinear oscillation equation in electrical engineering[J].Applied Mathematics and Mechanics(English Edition),1994,15(1):7-12. |
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| Authors: | Chen You-liang Dai Shi-qiang |
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| Institution: | (1) Department of Fundamental Courses, North China Institute of Electric Power, Baoding;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai |
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| Abstract: | In the present paper,we investigate a class of nonlinear oscillation equations inelectrical engineering by using the modified Krylov-Bogolyubov method presentedin1]. We obtain quantitatively ihe parameier range for the existence of a limit cycleand the amplitude of the limit cycle,and find that the limit cycle is unstable. All theresults agree entirely with the known results given by qualitative analysis, and henceconfirm the effectiveness of the above-mentioned asymptotic method |
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| Keywords: | nonlinear oscillation limit cycle asymptotic analysis modified Krylov-Bogolyubov method |
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