ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (1): 7-12.

ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

程友良¹, 戴世强²

1. Department of Fundamental Courses, North China Institure of Electric Power, Baoding;
2. Shanghai University of Technology;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

收稿日期:1992-11-16 出版日期:1994-01-18 发布日期:1994-01-18
基金资助:
Projects Supported by Shanghai Natural Science Foundation

ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

Cheng You-liang¹, Dai Shi-qiang²

1. Department of Fundamental Courses, North China Institure of Electric Power, Baoding;
2. Shanghai University of Technology;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received:1992-11-16 Online:1994-01-18 Published:1994-01-18
Supported by:
Projects Supported by Shanghai Natural Science Foundation

摘要/Abstract

摘要： In the present paper,we investigate a class of nonlinear oscillation equations inelectrical engineering by using the modified Krylov-Bogolyubov method presentedin[1]. 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

关键词: nonlinear oscillation, limit cycle, asymptotic analysis, modified Krylov-Bogolyubov method

Abstract: In the present paper,we investigate a class of nonlinear oscillation equations inelectrical engineering by using the modified Krylov-Bogolyubov method presentedin[1]. 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

Key words: modified Krylov-Bogolyubov method, nonlinear oscillation, limit cycle, asymptotic analysis

程友良;戴世强. ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(1): 7-12.

Cheng 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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ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

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