Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering

Cheng You-liang; Dai Shi-qiang

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Cheng You-liang, Dai Shi-qiang. Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 15(1): 7-12.

Citation:

Cheng You-liang, Dai Shi-qiang. Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 15(1): 7-12.

Citation:

Cheng You-liang, Dai Shi-qiang. Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 15(1): 7-12.

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Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering

Cheng You-liang¹,
Dai Shi-qiang²

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

Publish Date: 1994-01-15

Abstract

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 the results agree entirely with the known results given by qualitative analysis,and hence confirm the effectiveness of the above-mentioned asymptotic method
- nonlinear oscillation,
- limit cycle,
- asymptotic analysis,
- modified Krylov-Bogolyubov method

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References(4)

References

[1]	戴世强,强非线性振子灼渐近分析,应用数学和力学,6(5)(1985),395-400,
[2]	沈家骥、俞伯华,非线跳扰动方程rJ紊功性态:数学学很,31(2) (1988), 215-220,
[3]	戴世强、庄峰青,一类非线性振动系统的渐近解.中国科学(A辑),29(1) (1986), 34-40.
[4]	Byrd,P.F.and M.D.,Friedman,Handbook of Elliptic Integrals for Engineers and Scientists,2nd ed.,Springer,New York (1971).